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240142032420 = 2235107208717923
BaseRepresentation
bin1101111110100110010…
…1001001111000100100
3211221211220121012211220
43133221211021320210
512413302330014140
6302153021100340
723230641411333
oct3375145117044
9757756535756
10240142032420
1192930a0a304
123a65b0b76b0
1319850940b94
14b8a14a1d1a
1563a7664bd0
hex37e9949e24

240142032420 has 96 divisors (see below), whose sum is σ = 679044860928. Its totient is φ = 63405455232.

The previous prime is 240142032407. The next prime is 240142032443. The reversal of 240142032420 is 24230241042.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13389579 + ... + 13407501.

It is an arithmetic number, because the mean of its divisors is an integer number (7073383968).

Almost surely, 2240142032420 is an apocalyptic number.

240142032420 is a gapful number since it is divisible by the number (20) 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 240142032420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339522430464).

240142032420 is an abundant number, since it is smaller than the sum of its proper divisors (438902828508).

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

240142032420 is a wasteful number, since it uses less digits than its factorization.

240142032420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20129 (or 20127 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 240142032420 its reverse (24230241042), we get a palindrome (264372273462).

The spelling of 240142032420 in words is "two hundred forty billion, one hundred forty-two million, thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2087 2140 3210 4174 6261 6420 8348 10435 12522 17923 20870 25044 31305 35846 41740 53769 62610 71692 89615 107538 125220 179230 215076 223309 268845 358460 446618 537690 669927 893236 1075380 1116545 1339854 1917761 2233090 2679708 3349635 3835522 4466180 5753283 6699270 7671044 9588805 11506566 13398540 19177610 23013132 28766415 37405301 38355220 57532830 74810602 112215903 115065660 149621204 187026505 224431806 374053010 448863612 561079515 748106020 1122159030 2244318060 4002367207 8004734414 12007101621 16009468828 20011836035 24014203242 40023672070 48028406484 60035508105 80047344140 120071016210 240142032420