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140039529787872 = 253211133400338233
BaseRepresentation
bin11111110101110101111110…
…011011010111000111100000
3200100211122111121111211022200
4133311311332123113013200
5121323401424111202442
61213501134415333200
741332344044656041
oct3765657633270740
9610748447454280
10140039529787872
1140691481818a20
1213858723221200
13601a89523a420
142681d412588c8
15112cb39a9134c
hex7f5d7e6d71e0

140039529787872 has 144 divisors (see below), whose sum is σ = 467859338292528. Its totient is φ = 39171896432640.

The previous prime is 140039529787849. The next prime is 140039529787889. The reversal of 140039529787872 is 278787925930041.

It is a happy number.

140039529787872 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 395 + 2 + 97 + 87 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1400395297878722 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 140039529787872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1700127933 + ... + 1700210300.

It is an arithmetic number, because the mean of its divisors is an integer number (3249023182587).

Almost surely, 2140039529787872 is an apocalyptic number.

140039529787872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140039529787872 is an abundant number, since it is smaller than the sum of its proper divisors (327819808504656).

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

140039529787872 is a wasteful number, since it uses less digits than its factorization.

140039529787872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400338273 (or 3400338262 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 140039529787872 in words is "one hundred forty trillion, thirty-nine billion, five hundred twenty-nine million, seven hundred eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 3400338233 6800676466 10201014699 13601352932 20402029398 27202705864 30603044097 37403720563 40804058796 44204397029 54405411728 61206088194 74807441126 81608117592 88408794058 108810823456 112211161689 122412176388 132613191087 149614882252 163216235184 176817588116 224422323378 244824352776 265226382174 299229764504 326432470368 336633485067 353635176232 397839573261 448844646756 486248367319 489648705552 530452764348 598459529008 673266970134 707270352464 795679146522 897689293512 972496734638 979297411104 1060905528696 1196919058016 1346533940268 1414540704928 1458745101957 1591358293044 1795378587024 1944993469276 2121811057392 2693067880536 2917490203914 3182716586088 3590757174048 3889986938552 4243622114784 4376235305871 5386135761072 5834980407828 6365433172176 7779973877104 8752470611742 10772271522144 11669960815656 12730866344352 15559947754208 17504941223484 23339921631312 35009882446968 46679843262624 70019764893936 140039529787872