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10140225150400 = 265237171287587
BaseRepresentation
bin1001001110001111010010…
…0001001001110111000000
31022220101200201120221212021
42103203310201021313000
52312114140114303100
633322204412411224
72064415142430622
oct223436441116700
938811621527767
1010140225150400
11325a499818a74
1211792b0a76b14
135872b056c2b7
14270b0a608c12
15128b857daa1a
hex938f4849dc0

10140225150400 has 84 divisors (see below), whose sum is σ = 25625650890328. Its totient is φ = 3946465981440.

The previous prime is 10140225150383. The next prime is 10140225150401. The reversal of 10140225150400 is 405152204101.

It is a super-2 number, since 2×101402251504002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140225150401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85584594 + ... + 85702993.

Almost surely, 210140225150400 is an apocalyptic number.

10140225150400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140225150400 is an abundant number, since it is smaller than the sum of its proper divisors (15485425739928).

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

10140225150400 is a wasteful number, since it uses less digits than its factorization.

10140225150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171287646 (or 171287631 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 10140225150400 its reverse (405152204101), we get a palindrome (10545377354501).

The spelling of 10140225150400 in words is "ten trillion, one hundred forty billion, two hundred twenty-five million, one hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 148 160 185 200 296 320 370 400 592 740 800 925 1184 1480 1600 1850 2368 2960 3700 5920 7400 11840 14800 29600 59200 171287587 342575174 685150348 856437935 1370300696 1712875870 2740601392 3425751740 4282189675 5481202784 6337640719 6851503480 8564379350 10962405568 12675281438 13703006960 17128758700 25350562876 27406013920 31688203595 34257517400 50701125752 54812027840 63376407190 68515034800 101402251504 126752814380 137030069600 158441017975 202804503008 253505628760 274060139200 316882035950 405609006016 507011257520 633764071900 1014022515040 1267528143800 2028045030080 2535056287600 5070112575200 10140225150400