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3400407734048 = 251314935474921
BaseRepresentation
bin110001011110111000000…
…110000101011100100000
3110001002001021001200101222
4301132320012011130200
5421203013334442143
611122043054514212
7500446162561103
oct61367006053440
913032037050358
103400407734048
1110a1117576766
1246b031805968
131b8870789ba0
14ba81b2b473a
155d6bbd2c768
hex317b8185720

3400407734048 has 48 divisors (see below), whose sum is σ = 7214348518776. Its totient is φ = 1568367482880.

The previous prime is 3400407734039. The next prime is 3400407734083. The reversal of 3400407734048 is 8404377040043.

It can be written as a sum of positive squares in 4 ways, for example, as 1771486464784 + 1628921269264 = 1330972^2 + 1276292^2 .

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, 2116373 + ... + 3358548.

Almost surely, 23400407734048 is an apocalyptic number.

It is an amenable number.

3400407734048 is an abundant number, since it is smaller than the sum of its proper divisors (3813940784728).

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

3400407734048 is a wasteful number, since it uses less digits than its factorization.

3400407734048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476437 (or 5476429 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 44.

The spelling of 3400407734048 in words is "three trillion, four hundred billion, four hundred seven million, seven hundred thirty-four thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1493 2986 5972 11944 19409 23888 38818 47776 77636 155272 310544 621088 5474921 10949842 21899684 43799368 71173973 87598736 142347946 175197472 284695892 569391784 1138783568 2277567136 8174057053 16348114106 32696228212 65392456424 106262741689 130784912848 212525483378 261569825696 425050966756 850101933512 1700203867024 3400407734048