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401613797025 = 3552731304651
BaseRepresentation
bin1011101100000100000…
…11000011011010100001
31102101122011012202100000
411312002003003122201
523040001113001100
6504255425250213
741005235643420
oct5660203033241
91371564182300
10401613797025
11145361577a51
1265a03793969
132bb44a9501c
141561c6492b7
15a6a8420900
hex5d820c36a1

401613797025 has 144 divisors (see below), whose sum is σ = 880049451008. Its totient is φ = 177671880000.

The previous prime is 401613797021. The next prime is 401613797027. The reversal of 401613797025 is 520797316104.

401613797025 is a `hidden beast` number, since 4 + 0 + 1 + 613 + 7 + 9 + 7 + 0 + 25 = 666.

It is not a de Polignac number, because 401613797025 - 22 = 401613797021 is a prime.

It is a super-3 number, since 3×4016137970253 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (401613797021) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1165950 + ... + 1470600.

Almost surely, 2401613797025 is an apocalyptic number.

401613797025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401613797025 is an abundant number, since it is smaller than the sum of its proper divisors (478435653983).

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

401613797025 is a wasteful number, since it uses less digits than its factorization.

401613797025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304714 (or 304697 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 401613797025 in words is "four hundred one billion, six hundred thirteen million, seven hundred ninety-seven thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 31 35 45 63 75 81 93 105 135 155 175 189 217 225 243 279 315 405 465 525 567 651 675 775 837 945 1085 1215 1395 1575 1701 1953 2025 2325 2511 2835 3255 4185 4725 5425 5859 6075 6975 7533 8505 9765 12555 14175 16275 17577 20925 29295 37665 42525 48825 52731 62775 87885 146475 188325 263655 304651 439425 913953 1318275 1523255 2132557 2741859 4569765 6397671 7616275 8225577 9444181 10662785 13709295 19193013 22848825 24676731 28332543 31988355 41127885 47220905 53313925 57579039 66109267 68546475 74030193 84997629 95965065 123383655 141662715 159941775 172737117 198327801 205639425 236104525 254992887 287895195 330546335 370150965 424988145 479825325 518211351 594983403 616918275 708313575 764978661 863685585 991639005 1274964435 1439475975 1652731675 1784950209 1850754825 2124940725 2294935983 2591056755 2974917015 3824893305 4318427925 4958195025 5354850627 6374822175 8924751045 11474679915 12955283775 14874585075 16064551881 19124466525 26774253135 44623755225 57373399575 80322759405 133871265675 401613797025