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106242140514 = 23195915795739
BaseRepresentation
bin110001011110010000…
…1100110100101100010
3101011020012022221021010
41202330201212211202
53220040441444024
6120450145441350
710450531202616
oct1427441464542
9334205287233
10106242140514
1141069a11714
1218710340256
13a031ac8703
1451dc0a1346
152b6c252b29
hex18bc866962

106242140514 has 32 divisors (see below), whose sum is σ = 227458656000. Its totient is φ = 32981500944.

The previous prime is 106242140483. The next prime is 106242140531. The reversal of 106242140514 is 415041242601.

It is a super-2 number, since 2×1062421405142 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7891144 + ... + 7904595.

It is an arithmetic number, because the mean of its divisors is an integer number (7108083000).

Almost surely, 2106242140514 is an apocalyptic number.

106242140514 is an abundant number, since it is smaller than the sum of its proper divisors (121216515486).

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

106242140514 is a wasteful number, since it uses less digits than its factorization.

106242140514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15795822.

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 106242140514 in words is "one hundred six billion, two hundred forty-two million, one hundred forty thousand, five hundred fourteen".

Divisors: 1 2 3 6 19 38 57 59 114 118 177 354 1121 2242 3363 6726 15795739 31591478 47387217 94774434 300119041 600238082 900357123 931948601 1800714246 1863897202 2795845803 5591691606 17707023419 35414046838 53121070257 106242140514