Search a number
-
+
102541432015040 = 265667974797251
BaseRepresentation
bin10111010100001011001001…
…101000010100100011000000
3111110001212100201000112022212
4113110023021220110203000
5101420014323043440130
61002030514502521252
730412242163633514
oct2724131150244300
9443055321015285
10102541432015040
112a7446391395a7
12b601272136228
13452a8004882c5
141b4706333a144
15bcc510982e95
hex5d42c9a148c0

102541432015040 has 56 divisors (see below), whose sum is σ = 244180491391152. Its totient is φ = 41015950208000.

The previous prime is 102541432014953. The next prime is 102541432015079. The reversal of 102541432015040 is 40510234145201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 102541432014988 and 102541432015006.

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, 18976415 + ... + 23773665.

Almost surely, 2102541432015040 is an apocalyptic number.

102541432015040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102541432015040 is an abundant number, since it is smaller than the sum of its proper divisors (141639059376112).

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

102541432015040 is an equidigital number, since it uses as much as digits as its factorization.

102541432015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4864065 (or 4864055 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 102541432015040 in words is "one hundred two trillion, five hundred forty-one billion, four hundred thirty-two million, fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 66797 133594 267188 333985 534376 667970 1068752 1335940 2137504 2671880 4275008 4797251 5343760 9594502 10687520 19189004 21375040 23986255 38378008 47972510 76756016 95945020 153512032 191890040 307024064 383780080 767560160 1535120320 320441975047 640883950094 1281767900188 1602209875235 2563535800376 3204419750470 5127071600752 6408839500940 10254143201504 12817679001880 20508286403008 25635358003760 51270716007520 102541432015040