Search a number
-
+
102439896484401 = 3371959691699719
BaseRepresentation
bin10111010010101100100101…
…101001000000101000110001
3111102201011021112000011001000
4113102230211221000220301
5101411333402000000101
61001512123324032213
730402016063105350
oct2722544551005061
9442634245004030
10102439896484401
112a705574a65613
12b5a5656092669
13452106b7c6168
141b421903a7997
15bc9a6ba31486
hex5d2b25a40a31

102439896484401 has 128 divisors (see below), whose sum is σ = 185935196160000. Its totient is φ = 54437276715840.

The previous prime is 102439896484369. The next prime is 102439896484463. The reversal of 102439896484401 is 104484698934201.

102439896484401 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 3 + 98 + 9 + 64 + 84 + 401 = 666.

It is not a de Polignac number, because 102439896484401 - 25 = 102439896484369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (102439896484201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146051620 + ... + 146751338.

It is an arithmetic number, because the mean of its divisors is an integer number (1452618720000).

Almost surely, 2102439896484401 is an apocalyptic number.

It is an amenable number.

102439896484401 is a deficient number, since it is larger than the sum of its proper divisors (83495299675599).

102439896484401 is a wasteful number, since it uses less digits than its factorization.

102439896484401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700504 (or 700498 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 102439896484401 in words is "one hundred two trillion, four hundred thirty-nine billion, eight hundred ninety-six million, four hundred eighty-four thousand, four hundred one".

Divisors: 1 3 7 9 19 21 27 57 59 63 133 171 177 189 399 413 513 531 691 1121 1197 1239 1593 2073 3363 3591 3717 4837 6219 7847 10089 11151 13129 14511 18657 23541 30267 39387 40769 43533 70623 91903 118161 122307 130599 211869 275709 285383 354483 366921 699719 774611 827127 856149 1100763 2099157 2323833 2481381 2568447 4898033 5422277 6297471 6971499 7705341 13294661 14694099 16266831 18892413 20914497 39883983 41283421 44082297 48800493 93062627 119651949 123850263 132246891 146401479 279187881 288983947 358955847 371550789 483505829 784384999 837563643 866951841 1114652367 1450517487 2353154997 2512690929 2600855523 3384540803 4351552461 5490694993 7059464991 7802566569 9186610751 10153622409 13054657383 16472084979 21178394973 27559832253 28526843911 30460867227 49416254937 64306275257 82679496759 85580531733 91382601681 148248764811 192918825771 199687907377 248038490277 256741595199 542010034309 578756477313 599063722131 770224785597 1626030102927 1736269431939 1797191166393 3794070240163 4878090308781 5391573499179 11382210720489 14634270926343 34146632161467 102439896484401