Search a number
-
+
401103214011324 = 223411313630419011
BaseRepresentation
bin101101100110011010001111…
…0100101101110001110111100
31221121012002111122001120120000
41123030310132211232032330
5410033133340241330244
63541024134523554300
7150325515363204306
oct13314643645561674
91847162448046500
10401103214011324
11106892a1062a9a0
1238ba05a698b990
13142a6b4215c176
1471096db906976
153158935d49169
hex16ccd1e96e3bc

401103214011324 has 120 divisors (see below), whose sum is σ = 1180786522814976. Its totient is φ = 117625575924000.

The previous prime is 401103214011251. The next prime is 401103214011341. The reversal of 401103214011324 is 423110412301104.

It is a happy number.

401103214011324 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 0 + 321 + 4 + 0 + 11 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1815099022 + ... + 1815319989.

Almost surely, 2401103214011324 is an apocalyptic number.

401103214011324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

401103214011324 is an abundant number, since it is smaller than the sum of its proper divisors (779683308803652).

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

401103214011324 is a wasteful number, since it uses less digits than its factorization.

401103214011324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630419069 (or 3630419058 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 401103214011324 its reverse (423110412301104), we get a palindrome (824213626312428).

The spelling of 401103214011324 in words is "four hundred one trillion, one hundred three billion, two hundred fourteen million, eleven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 81 93 99 108 124 132 162 186 198 279 297 324 341 372 396 558 594 682 837 891 1023 1116 1188 1364 1674 1782 2046 2511 3069 3348 3564 4092 5022 6138 9207 10044 12276 18414 27621 36828 55242 110484 3630419011 7260838022 10891257033 14521676044 21782514066 32673771099 39934609121 43565028132 65347542198 79869218242 98021313297 112542989341 119803827363 130695084396 159738436484 196042626594 225085978682 239607654726 294063939891 337628968023 359411482089 392085253188 450171957364 479215309452 588127879782 675257936046 718822964178 1012886904069 1078234446267 1176255759564 1237972882751 1350515872092 1437645928356 2025773808138 2156468892534 2475945765502 3038660712207 3234703338801 3713918648253 4051547616276 4312937785068 4951891531004 6077321424414 6469406677602 7427837296506 9115982136621 11141755944759 12154642848828 12938813355204 14855674593012 18231964273242 22283511889518 33425267834277 36463928546484 44567023779036 66850535668554 100275803502831 133701071337108 200551607005662 401103214011324