Search a number
-
+
42947147136 = 2734718113147
BaseRepresentation
bin100111111111110110…
…010111010110000000
311002212001122010100010
4213333312113112000
51200423432202021
631421334224520
73050161504335
oct477766272600
9132761563303
1042947147136
11172395aa333
1283a6ab5140
13408581ccca
142115b7698c
1511b55da976
hex9ffd97580

42947147136 has 128 divisors (see below), whose sum is σ = 117158146560. Its totient is φ = 13932656640.

The previous prime is 42947147129. The next prime is 42947147147. The reversal of 42947147136 is 63174174924.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3260115 + ... + 3273261.

It is an arithmetic number, because the mean of its divisors is an integer number (915298020).

Almost surely, 242947147136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42947147136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58579073280).

42947147136 is an abundant number, since it is smaller than the sum of its proper divisors (74210999424).

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

42947147136 is a wasteful number, since it uses less digits than its factorization.

42947147136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13392 (or 13380 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The spelling of 42947147136 in words is "forty-two billion, nine hundred forty-seven million, one hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 181 188 192 282 362 376 384 543 564 724 752 1086 1128 1448 1504 2172 2256 2896 3008 4344 4512 5792 6016 8507 8688 9024 11584 13147 17014 17376 18048 23168 25521 26294 34028 34752 39441 51042 52588 68056 69504 78882 102084 105176 136112 157764 204168 210352 272224 315528 408336 420704 544448 617909 631056 816672 841408 1088896 1235818 1262112 1633344 1682816 1853727 2379607 2471636 2524224 3266688 3707454 4759214 4943272 5048448 7138821 7414908 9518428 9886544 14277642 14829816 19036856 19773088 28555284 29659632 38073712 39546176 57110568 59319264 76147424 79092352 111841529 114221136 118638528 152294848 223683058 228442272 237277056 304589696 335524587 447366116 456884544 671049174 894732232 913769088 1342098348 1789464464 2684196696 3578928928 5368393392 7157857856 10736786784 14315715712 21473573568 42947147136