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10040144054300 = 22524110369236167
BaseRepresentation
bin1001001000011010011100…
…1110000100100000011100
31022112211100220100111200022
42102012213032010200130
52303444203334214200
633204213431251312
72054243062232423
oct222064716044034
938484326314608
1010040144054300
1132210016331a8
121161a1bb19b38
1357aa210075c9
14269d348b82ba
151262793d2885
hex921a738481c

10040144054300 has 72 divisors (see below), whose sum is σ = 22320752526240. Its totient is φ = 3917710540800.

The previous prime is 10040144054287. The next prime is 10040144054327. The reversal of 10040144054300 is 345044104001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10040144054300.

It is a congruent number.

It is an unprimeable number.

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, 42394817 + ... + 42630983.

Almost surely, 210040144054300 is an apocalyptic number.

10040144054300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10040144054300 is an abundant number, since it is smaller than the sum of its proper divisors (12280608471940).

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

10040144054300 is a wasteful number, since it uses less digits than its factorization.

10040144054300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246591 (or 246584 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 10040144054300 its reverse (345044104001), we get a palindrome (10385188158301).

The spelling of 10040144054300 in words is "ten trillion, forty billion, one hundred forty-four million, fifty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 10369 20738 41476 51845 103690 207380 236167 259225 425129 472334 518450 850258 944668 1036900 1180835 1700516 2125645 2361670 4251290 4723340 5904175 8502580 9682847 10628225 11808350 19365694 21256450 23616700 38731388 42512900 48414235 96828470 193656940 242071175 484142350 968284700 2448815623 4897631246 9795262492 12244078115 24488156230 48976312460 61220390575 100401440543 122440781150 200802881086 244881562300 401605762172 502007202715 1004014405430 2008028810860 2510036013575 5020072027150 10040144054300