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202102661440 = 26510728320857
BaseRepresentation
bin1011110000111001000…
…0011110000101000000
3201022122212210221202001
42330032100132011000
511302401240131230
6232502241233344
720413202164201
oct2741620360500
9638585727661
10202102661440
1178790757929
1233203932854
131609ab2c544
149ad34615a8
1553ccd650ca
hex2f0e41e140

202102661440 has 112 divisors (see below), whose sum is σ = 487494510912. Its totient is φ = 79798726656.

The previous prime is 202102661429. The next prime is 202102661459. The reversal of 202102661440 is 44166201202.

It is a super-2 number, since 2×2021026614402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202102661399 and 202102661408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9679492 + ... + 9700348.

Almost surely, 2202102661440 is an apocalyptic number.

202102661440 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 202102661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243747255456).

202102661440 is an abundant number, since it is smaller than the sum of its proper divisors (285391849472).

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

202102661440 is a wasteful number, since it uses less digits than its factorization.

202102661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21264 (or 21254 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 202102661440 its reverse (44166201202), we get a palindrome (246268862642).

The spelling of 202102661440 in words is "two hundred two billion, one hundred two million, six hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 160 214 283 320 428 535 566 856 1070 1132 1415 1712 2140 2264 2830 3424 4280 4528 5660 6848 8560 9056 11320 17120 18112 20857 22640 30281 34240 41714 45280 60562 83428 90560 104285 121124 151405 166856 208570 242248 302810 333712 417140 484496 605620 667424 834280 968992 1211240 1334848 1668560 1937984 2231699 2422480 3337120 4463398 4844960 5902531 6674240 8926796 9689920 11158495 11805062 17853592 22316990 23610124 29512655 35707184 44633980 47220248 59025310 71414368 89267960 94440496 118050620 142828736 178535920 188880992 236101240 357071840 377761984 472202480 631570817 714143680 944404960 1263141634 1888809920 2526283268 3157854085 5052566536 6315708170 10105133072 12631416340 20210266144 25262832680 40420532288 50525665360 101051330720 202102661440