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146037431120 = 2457401650327
BaseRepresentation
bin1000100000000010000…
…0100101101101010000
3111221221121012011021012
42020000200211231100
54343041040243440
6151031052550052
713356641453210
oct2100040455520
9457847164235
10146037431120
1156a30360539
1224377782328
1310a04635249
1470d53c2240
153beac9ee65
hex2200825b50

146037431120 has 80 divisors (see below), whose sum is σ = 389010601728. Its totient is φ = 49945036800.

The previous prime is 146037431093. The next prime is 146037431131. The reversal of 146037431120 is 21134730641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100604 + ... + 549723.

Almost surely, 2146037431120 is an apocalyptic number.

146037431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146037431120 is an abundant number, since it is smaller than the sum of its proper divisors (242973170608).

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

146037431120 is a wasteful number, since it uses less digits than its factorization.

146037431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650748 (or 650742 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 146037431120 in words is "one hundred forty-six billion, thirty-seven million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 401 560 802 1604 2005 2807 3208 4010 5614 6416 8020 11228 14035 16040 22456 28070 32080 44912 56140 112280 224560 650327 1300654 2601308 3251635 4552289 5202616 6503270 9104578 10405232 13006540 18209156 22761445 26013080 36418312 45522890 52026160 72836624 91045780 182091560 260781127 364183120 521562254 1043124508 1303905635 1825467889 2086249016 2607811270 3650935778 4172498032 5215622540 7301871556 9127339445 10431245080 14603743112 18254678890 20862490160 29207486224 36509357780 73018715560 146037431120