Search a number
-
+
142332130402044 = 223112480120417597
BaseRepresentation
bin100000010111001101001000…
…000100101001111011111100
3200122221211002220000221212220
4200113031020010221323330
5122123432200340331134
61222414251131125340
741660104606444152
oct4027151004517374
9618854086027786
10142332130402044
1141395799025a00
1213b68b065a3850
136155b2963c58b
142720caa2493d2
15116c5ba822149
hex817348129efc

142332130402044 has 72 divisors (see below), whose sum is σ = 365120718039504. Its totient is φ = 43121962752000.

The previous prime is 142332130402039. The next prime is 142332130402061. The reversal of 142332130402044 is 440204031233241.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 142332130401996 and 142332130402014.

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, 3237747 + ... + 17179850.

It is an arithmetic number, because the mean of its divisors is an integer number (5071121083882).

Almost surely, 2142332130402044 is an apocalyptic number.

It is an amenable number.

142332130402044 is an abundant number, since it is smaller than the sum of its proper divisors (222788587637460).

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

142332130402044 is a wasteful number, since it uses less digits than its factorization.

142332130402044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20422427 (or 20422414 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 142332130402044 its reverse (440204031233241), we get a palindrome (582536161635285).

The spelling of 142332130402044 in words is "one hundred forty-two trillion, three hundred thirty-two billion, one hundred thirty million, four hundred two thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 4801 9602 14403 19204 28806 52811 57612 105622 158433 211244 316866 580921 633732 1161842 1742763 2323684 3485526 6971052 20417597 40835194 61252791 81670388 122505582 224593567 245011164 449187134 673780701 898374268 1347561402 2470529237 2695122804 4941058474 7411587711 9882116948 14823175422 29646350844 98024883197 196049766394 294074649591 392099532788 588149299182 1078273715167 1176298598364 2156547430334 3234821145501 4313094860668 6469642291002 11861010866837 12939284582004 23722021733674 35583032600511 47444043467348 71166065201022 142332130402044