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38987100240 = 24351121342531
BaseRepresentation
bin100100010011110011…
…111111000001010000
310201122002002220020120
4210103303333001100
51114321144201430
625524352510240
72550064612164
oct442363770120
9121562086216
1038987100240
1115597224500
12768084b380
1338a42799aa
141c5bc62ca4
151032b08610
hex913cff050

38987100240 has 120 divisors (see below), whose sum is σ = 132846226464. Its totient is φ = 9451411200.

The previous prime is 38987100233. The next prime is 38987100241. The reversal of 38987100240 is 4200178983.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 38987100192 and 38987100201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38987100241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642226 + ... + 700305.

Almost surely, 238987100240 is an apocalyptic number.

38987100240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38987100240 is an abundant number, since it is smaller than the sum of its proper divisors (93859126224).

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

38987100240 is a wasteful number, since it uses less digits than its factorization.

38987100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342569 (or 1342552 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 38987100240 in words is "thirty-eight billion, nine hundred eighty-seven million, one hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 29040 1342531 2685062 4027593 5370124 6712655 8055186 10740248 13425310 14767841 16110372 20137965 21480496 26850620 29535682 32220744 40275930 44303523 53701240 59071364 64441488 73839205 80551860 88607046 107402480 118142728 147678410 161103720 162446251 177214092 221517615 236285456 295356820 322207440 324892502 354428184 443035230 487338753 590713640 649785004 708856368 812231255 886070460 974677506 1181427280 1299570008 1624462510 1772140920 1949355012 2436693765 2599140016 3248925020 3544281840 3898710024 4873387530 6497850040 7797420048 9746775060 12995700080 19493550120 38987100240