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106243432440 = 23353723928701
BaseRepresentation
bin110001011110010011…
…0100001111111111000
3101011020021202120110020
41202330212201333320
53220041304314230
6120450233250440
710450545163305
oct1427446417770
9334207676406
10106243432440
114106a714322
1218710863a20
13a03215b772
1451dc31a0ac
152b6c40a810
hex18bc9a1ff8

106243432440 has 64 divisors (see below), whose sum is σ = 327344643360. Its totient is φ = 27565862400.

The previous prime is 106243432439. The next prime is 106243432453. The reversal of 106243432440 is 44234342601.

It is a super-2 number, since 2×1062434324402 (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 15 ways as a sum of consecutive naturals, for example, 11959911 + ... + 11968790.

Almost surely, 2106243432440 is an apocalyptic number.

106243432440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106243432440 is an abundant number, since it is smaller than the sum of its proper divisors (221101210920).

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

106243432440 is a wasteful number, since it uses less digits than its factorization.

106243432440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23928752 (or 23928748 counting only the distinct ones).

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

The spelling of 106243432440 in words is "one hundred six billion, two hundred forty-three million, four hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 23928701 47857402 71786103 95714804 119643505 143572206 191429608 239287010 287144412 358930515 478574020 574288824 717861030 885361937 957148040 1435722060 1770723874 2656085811 2871444120 3541447748 4426809685 5312171622 7082895496 8853619370 10624343244 13280429055 17707238740 21248686488 26560858110 35414477480 53121716220 106243432440