Search a number
-
+
10140406632125 = 537211236543781
BaseRepresentation
bin1001001110001111111101…
…0101011100111010111101
31022220102011101002011222122
42103203333111130322331
52312120023044212000
633322234414252325
72064422505130100
oct223437725347275
938812141064878
1010140406632125
11325a582202970
1211793417b70a5
1358730c041733
14270b2676a737
15128b966d8085
hex938ff55cebd

10140406632125 has 96 divisors (see below), whose sum is σ = 16757945148672. Its totient is φ = 6046452720000.

The previous prime is 10140406632101. The next prime is 10140406632133. The reversal of 10140406632125 is 52123660404101.

It is not a de Polignac number, because 10140406632125 - 218 = 10140406369981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1722266 + ... + 4821515.

It is an arithmetic number, because the mean of its divisors is an integer number (174561928632).

Almost surely, 210140406632125 is an apocalyptic number.

It is an amenable number.

10140406632125 is a deficient number, since it is larger than the sum of its proper divisors (6617538516547).

10140406632125 is a wasteful number, since it uses less digits than its factorization.

10140406632125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6543844 (or 6543827 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 10140406632125 in words is "ten trillion, one hundred forty billion, four hundred six million, six hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 5 7 11 23 25 35 49 55 77 115 125 161 175 245 253 275 385 539 575 805 875 1127 1225 1265 1375 1771 1925 2695 2875 4025 5635 6125 6325 8855 9625 12397 13475 20125 28175 31625 44275 61985 67375 140875 221375 309925 1549625 6543781 32718905 45806467 71981591 150506963 163594525 229032335 320645269 359907955 503871137 752534815 817972625 1053548741 1145161675 1603226345 1655576593 1799539775 2519355685 3527097959 3762674075 5267743705 5725808375 7374841187 8016131725 8277882965 8997698875 11589036151 12596778425 17635489795 18813370375 26338718525 36874205935 40080658625 41389414825 57945180755 62983892125 81123253057 88177448975 131693592625 184371029675 206947074125 289725903775 405616265285 440887244875 921855148375 1448629518875 2028081326425 10140406632125