Search a number
-
+
100034440944 = 24319109686887
BaseRepresentation
bin101110100101010000…
…1000110111011110000
3100120012120110010100020
41131022201012323300
53114332304102234
6113542153123440
710140642501264
oct1351241067360
9316176403306
10100034440944
113947391a099
12174793b9580
1395829aabb9
144bad8680a4
15290728e549
hex174a846ef0

100034440944 has 40 divisors (see below), whose sum is σ = 272023482240. Its totient is φ = 31589823168.

The previous prime is 100034440931. The next prime is 100034440969. The reversal of 100034440944 is 449044430001.

It is a super-2 number, since 2×1000344409442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54842532 + ... + 54844355.

It is an arithmetic number, because the mean of its divisors is an integer number (6800587056).

Almost surely, 2100034440944 is an apocalyptic number.

It is an amenable number.

100034440944 is an abundant number, since it is smaller than the sum of its proper divisors (171989041296).

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

100034440944 is a wasteful number, since it uses less digits than its factorization.

100034440944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109686917 (or 109686911 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 100034440944 its reverse (449044430001), we get a palindrome (549078870945).

The spelling of 100034440944 in words is "one hundred billion, thirty-four million, four hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 109686887 219373774 329060661 438747548 658121322 877495096 1316242644 1754990192 2084050853 2632485288 4168101706 5264970576 6252152559 8336203412 12504305118 16672406824 25008610236 33344813648 50017220472 100034440944