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14102402202320 = 2452367331345599
BaseRepresentation
bin1100110100110111100010…
…1011000111101011010000
31211221011202122201211002112
43031031320223013223100
53322023204430433240
645554315405404452
72653602446614265
oct315157053075320
954834678654075
1014102402202320
114547882437963
1216b9181b69728
137b3b0a340883
1436a7ba56326c
15196c80e96665
hexcd378ac7ad0

14102402202320 has 160 divisors (see below), whose sum is σ = 34829313638400. Its totient is φ = 5299095605760.

The previous prime is 14102402202299. The next prime is 14102402202323. The reversal of 14102402202320 is 2320220420141.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14102402202323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40632881 + ... + 40978479.

It is an arithmetic number, because the mean of its divisors is an integer number (217683210240).

Almost surely, 214102402202320 is an apocalyptic number.

14102402202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14102402202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17414656819200).

14102402202320 is an abundant number, since it is smaller than the sum of its proper divisors (20726911436080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14102402202320 is a wasteful number, since it uses less digits than its factorization.

14102402202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346033 (or 346027 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 14102402202320 its reverse (2320220420141), we get a palindrome (16422622622461).

The spelling of 14102402202320 in words is "fourteen trillion, one hundred two billion, four hundred two million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 67 80 92 115 134 184 230 268 331 335 368 460 536 662 670 920 1072 1324 1340 1541 1655 1840 2648 2680 3082 3310 5296 5360 6164 6620 7613 7705 12328 13240 15226 15410 22177 24656 26480 30452 30820 38065 44354 60904 61640 76130 88708 110885 121808 123280 152260 177416 221770 304520 345599 354832 443540 510071 609040 691198 887080 1020142 1382396 1727995 1774160 2040284 2550355 2764792 3455990 4080568 5100710 5529584 6911980 7948777 8161136 10201420 13823960 15897554 20402840 23155133 27647920 31795108 39743885 40805680 46310266 63590216 79487770 92620532 114393269 115775665 127180432 158975540 185241064 228786538 231551330 317951080 370482128 457573076 463102660 532568059 571966345 635902160 915146152 926205320 1065136118 1143932690 1830292304 1852410640 2130272236 2287865380 2631045187 2662840295 4260544472 4575730760 5262090374 5325680590 7664349023 8521088944 9151461520 10524180748 10651361180 13155225935 15328698046 21048361496 21302722360 26310451870 30657396092 38321745115 42096722992 42605444720 52620903740 61314792184 76643490230 105241807480 122629584368 153286980460 176280027529 210483614960 306573960920 352560055058 613147921840 705120110116 881400137645 1410240220232 1762800275290 2820480440464 3525600550580 7051201101160 14102402202320