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141618138056352 = 2532491729646029
BaseRepresentation
bin100000001100110100001010…
…110100000000011010100000
3200120102120011112110202022100
4200030310022310000122200
5122030232421320300402
61221110250253210400
741554400323601646
oct4014641264003240
9616376145422270
10141618138056352
114113aa07a56951
1213a72663a90a00
1361036c1343759
1426d84d68a1196
151158c2d14971c
hex80cd0ad006a0

141618138056352 has 36 divisors (see below), whose sum is σ = 402726580098570. Its totient is φ = 47206046018688.

The previous prime is 141618138056321. The next prime is 141618138056399. The reversal of 141618138056352 is 253650831816141.

141618138056352 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 18 + 13 + 8 + 0 + 563 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 141304667962896 + 313470093456 = 11887164^2 + 559884^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 245864822727 + ... + 245864823302.

Almost surely, 2141618138056352 is an apocalyptic number.

141618138056352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141618138056352 is an abundant number, since it is smaller than the sum of its proper divisors (261108442042218).

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

141618138056352 is a wasteful number, since it uses less digits than its factorization.

141618138056352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491729646045 (or 491729646034 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 141618138056352 in words is "one hundred forty-one trillion, six hundred eighteen billion, one hundred thirty-eight million, fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 491729646029 983459292058 1475188938087 1966918584116 2950377876174 3933837168232 4425566814261 5900755752348 7867674336464 8851133628522 11801511504696 15735348672928 17702267257044 23603023009392 35404534514088 47206046018784 70809069028176 141618138056352