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14155501440 = 273537199261
BaseRepresentation
bin11010010111011101…
…11100111110000000
31100112112001222110010
431023232330332000
5212442302021230
610300345304520
71010533530333
oct151356747600
940475058403
1014155501440
116004458823
1228b0795140
1314478b5b72
14983dd461a
1557caec9b0
hex34bbbcf80

14155501440 has 128 divisors (see below), whose sum is σ = 46340370720. Its totient is φ = 3672760320.

The previous prime is 14155501439. The next prime is 14155501441. The reversal of 14155501440 is 4410555141.

It is an interprime number because it is at equal distance from previous prime (14155501439) and next prime (14155501441).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14155501398 and 14155501407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14155501441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28591 + ... + 170670.

Almost surely, 214155501440 is an apocalyptic number.

14155501440 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 14155501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23170185360).

14155501440 is an abundant number, since it is smaller than the sum of its proper divisors (32184869280).

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

14155501440 is a wasteful number, since it uses less digits than its factorization.

14155501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199320 (or 199308 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 14155501440 in words is "fourteen billion, one hundred fifty-five million, five hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 296 320 370 384 444 480 555 592 640 740 888 960 1110 1184 1480 1776 1920 2220 2368 2960 3552 4440 4736 5920 7104 8880 11840 14208 17760 23680 35520 71040 199261 398522 597783 797044 996305 1195566 1594088 1992610 2391132 2988915 3188176 3985220 4782264 5977830 6376352 7372657 7970440 9564528 11955660 12752704 14745314 15940880 19129056 22117971 23911320 25505408 29490628 31881760 36863285 38258112 44235942 47822640 58981256 63763520 73726570 76516224 88471884 95645280 110589855 117962512 127527040 147453140 176943768 191290560 221179710 235925024 294906280 353887536 382581120 442359420 471850048 589812560 707775072 884718840 943700096 1179625120 1415550144 1769437680 2359250240 2831100288 3538875360 4718500480 7077750720 14155501440