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1414231030320 = 2435131173260011
BaseRepresentation
bin10100100101000110101…
…111001111101000110000
312000012101012012001001220
4110211012233033220300
5141132321120432240
63001404435025040
7204113651262243
oct24450657175060
95005335161056
101414231030320
114a5854602a79
121aa10713b180
13a3491045c84
144c64066125a
1526bc26cb5d0
hex14946bcfa30

1414231030320 has 160 divisors (see below), whose sum is σ = 4443134978304. Its totient is φ = 372084710400.

The previous prime is 1414231030297. The next prime is 1414231030321. The reversal of 1414231030320 is 230301324141.

It is a happy number.

It is a super-3 number, since 3×14142310303203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1414231030321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5309115 + ... + 5569125.

Almost surely, 21414231030320 is an apocalyptic number.

1414231030320 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 1414231030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221567489152).

1414231030320 is an abundant number, since it is smaller than the sum of its proper divisors (3028903947984).

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

1414231030320 is a wasteful number, since it uses less digits than its factorization.

1414231030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260331 (or 260325 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1414231030320 its reverse (230301324141), we get a palindrome (1644532354461).

The spelling of 1414231030320 in words is "one trillion, four hundred fourteen billion, two hundred thirty-one million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 173 240 262 346 393 519 524 655 692 786 865 1038 1048 1310 1384 1572 1730 1965 2076 2096 2595 2620 2768 3144 3460 3930 4152 5190 5240 6288 6920 7860 8304 10380 10480 13840 15720 20760 22663 31440 41520 45326 67989 90652 113315 135978 181304 226630 260011 271956 339945 362608 453260 520022 543912 679890 780033 906520 1040044 1087824 1300055 1359780 1560066 1813040 2080088 2600110 2719560 3120132 3900165 4160176 5200220 5439120 6240264 7800330 10400440 12480528 15600660 20800880 31201320 34061441 44981903 62402640 68122882 89963806 102184323 134945709 136245764 170307205 179927612 204368646 224909515 269891418 272491528 340614410 359855224 408737292 449819030 510921615 539782836 544983056 674728545 681228820 719710448 817474584 899638060 1021843230 1079565672 1349457090 1362457640 1634949168 1799276120 2043686460 2159131344 2698914180 2724915280 3598552240 4087372920 5397828360 5892629293 8174745840 10795656720 11785258586 17677887879 23570517172 29463146465 35355775758 47141034344 58926292930 70711551516 88389439395 94282068688 117852585860 141423103032 176778878790 235705171720 282846206064 353557757580 471410343440 707115515160 1414231030320