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140101214311314 = 233191116279116819
BaseRepresentation
bin11111110110101111011011…
…000111001001001110010010
3200101001112201111211021211000
4133312233123013021032102
5121330404241330430224
61213545335341002430
741336656460526564
oct3766573307111622
9611045644737730
10140101214311314
1140705656058413
1213868679253416
136023645985639
142684d13725334
15112e54a13c0c9
hex7f6bdb1c9392

140101214311314 has 64 divisors (see below), whose sum is σ = 312971433984000. Its totient is φ = 46455102841680.

The previous prime is 140101214311309. The next prime is 140101214311319. The reversal of 140101214311314 is 413113412101041.

140101214311314 is a `hidden beast` number, since 1 + 4 + 0 + 10 + 1 + 21 + 4 + 311 + 314 = 666.

It is an interprime number because it is at equal distance from previous prime (140101214311309) and next prime (140101214311319).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (140101214311319) 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, 1199243197 + ... + 1199360015.

It is an arithmetic number, because the mean of its divisors is an integer number (4890178656000).

Almost surely, 2140101214311314 is an apocalyptic number.

140101214311314 is an abundant number, since it is smaller than the sum of its proper divisors (172870219672686).

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

140101214311314 is a wasteful number, since it uses less digits than its factorization.

140101214311314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233300 (or 233294 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 140101214311314 its reverse (413113412101041), we get a palindrome (553214626412355).

The spelling of 140101214311314 in words is "one hundred forty trillion, one hundred one billion, two hundred fourteen million, three hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 191 382 573 1146 1719 3438 5157 10314 116279 116819 232558 233638 348837 350457 697674 700914 1046511 1051371 2093022 2102742 3139533 3154113 6279066 6308226 22209289 22312429 44418578 44624858 66627867 66937287 133255734 133874574 199883601 200811861 399767202 401623722 599650803 602435583 1199301606 1204871166 13583596501 27167193002 40750789503 81501579006 122252368509 244504737018 366757105527 733514211054 2594466931691 5188933863382 7783400795073 15566801590146 23350202385219 46700404770438 70050607155657 140101214311314