Search a number
-
+
1463431602132 = 2232359275341131
BaseRepresentation
bin10101010010111011010…
…100100001111111010100
312011220101001202001101100
4111102323110201333110
5142434101442232012
63040142522030100
7210505125242463
oct25227324417724
95156331661340
101463431602132
11514701a95875
121b7758348330
13a80022a3166
1450b8ab349da
1528101cad8dc
hex154bb521fd4

1463431602132 has 72 divisors (see below), whose sum is σ = 3710971817280. Its totient is φ = 486263208960.

The previous prime is 1463431602107. The next prime is 1463431602169. The reversal of 1463431602132 is 2312061343641.

1463431602132 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 4 + 31 + 602 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35559207 + ... + 35600337.

It is an arithmetic number, because the mean of its divisors is an integer number (51541275240).

Almost surely, 21463431602132 is an apocalyptic number.

1463431602132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1463431602132 is an abundant number, since it is smaller than the sum of its proper divisors (2247540215148).

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

1463431602132 is a wasteful number, since it uses less digits than its factorization.

1463431602132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44253 (or 44248 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 1463431602132 its reverse (2312061343641), we get a palindrome (3775492945773).

The spelling of 1463431602132 in words is "one trillion, four hundred sixty-three billion, four hundred thirty-one million, six hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 359 718 1077 1436 2154 2753 3231 4308 5506 6462 8259 11012 12924 16518 24777 33036 41131 49554 82262 99108 123393 164524 246786 370179 493572 740358 988327 1480716 1976654 2964981 3953308 5929962 8894943 11859924 14766029 17789886 29532058 35579772 44298087 59064116 88596174 113233643 132894261 177192348 226467286 265788522 339700929 452934572 531577044 679401858 1019102787 1358803716 2038205574 4076411148 40650877837 81301755674 121952633511 162603511348 243905267022 365857900533 487810534044 731715801066 1463431602132