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120234382940736 = 26324568812
BaseRepresentation
bin11011010101101000111111…
…101011110101101001000000
3120202201021221212122002012100
4123111220333223311221000
5111224410004013100421
61103414525112430400
734216435044254661
oct3325507753655100
9522637855562170
10120234382940736
113534612a736709
121159a28b6a8400
135212090b8019c
142199537713368
15dd788b3bcc26
hex6d5a3faf5a40

120234382940736 has 63 divisors (see below), whose sum is σ = 344630904025993. Its totient is φ = 40078039925760.

The previous prime is 120234382940713. The next prime is 120234382940743. The reversal of 120234382940736 is 637049283432021.

It is a happy number.

The square root of 120234382940736 is 10965144.

It is a perfect power (a square), and thus also a powerful number.

120234382940736 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 343 + 8 + 294 + 0 + 7 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16272704195136 + 103961678745600 = 4033944^2 + 10196160^2 .

It is a super-2 number, since 2×1202343829407362 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 262935016 + ... + 263391896.

Almost surely, 2120234382940736 is an apocalyptic number.

120234382940736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120234382940736 is the 10965144-th square number.

It is an amenable number.

120234382940736 is an abundant number, since it is smaller than the sum of its proper divisors (224396521085257).

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

120234382940736 is an frugal number, since it uses more digits than its factorization.

120234382940736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913780 (or 456886 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 120234382940736 in words is "one hundred twenty trillion, two hundred thirty-four billion, three hundred eighty-two million, nine hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 456881 913762 1370643 1827524 2741286 3655048 4111929 5482572 7310096 8223858 10965144 14620192 16447716 21930288 29240384 32895432 43860576 65790864 87721152 131581728 263163456 208740248161 417480496322 626220744483 834960992644 1252441488966 1669921985288 1878662233449 2504882977932 3339843970576 3757324466898 5009765955864 6679687941152 7514648933796 10019531911728 13359375882304 15029297867592 20039063823456 30058595735184 40078127646912 60117191470368 120234382940736