Search a number
-
+
141427736832 = 283643286393
BaseRepresentation
bin1000001110110111000…
…0000000000100000000
3111112001100020102111010
42003231300000010000
54304121000034312
6144545423120520
713134465633234
oct2035560000400
9445040212433
10141427736832
1154a852a7a38
12234aba43140
131044b6025a5
146bb90c05c4
153a2b24493c
hex20edc00100

141427736832 has 72 divisors (see below), whose sum is σ = 376990732384. Its totient is φ = 47069097984.

The previous prime is 141427736809. The next prime is 141427736833. The reversal of 141427736832 is 238637724141.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (141427736833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350628 + ... + 637020.

Almost surely, 2141427736832 is an apocalyptic number.

141427736832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141427736832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188495366192).

141427736832 is an abundant number, since it is smaller than the sum of its proper divisors (235562995552).

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

141427736832 is an equidigital number, since it uses as much as digits as its factorization.

141427736832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287055 (or 287041 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The spelling of 141427736832 in words is "one hundred forty-one billion, four hundred twenty-seven million, seven hundred thirty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 643 768 1286 1929 2572 3858 5144 7716 10288 15432 20576 30864 41152 61728 82304 123456 164608 246912 286393 493824 572786 859179 1145572 1718358 2291144 3436716 4582288 6873432 9164576 13746864 18329152 27493728 36658304 54987456 73316608 109974912 184150699 219949824 368301398 552452097 736602796 1104904194 1473205592 2209808388 2946411184 4419616776 5892822368 8839233552 11785644736 17678467104 23571289472 35356934208 47142578944 70713868416 141427736832