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154312020432 = 2434119067917
BaseRepresentation
bin1000111110110110110…
…1101001000111010000
3112202022021021211220000
42033231231221013100
510012012334123212
6154520122050000
714101665350253
oct2175555510720
9482267254800
10154312020432
115a4971269a9
1225aa6949900
1311722a1a03b
14767c32709a
15403243a1dc
hex23edb691d0

154312020432 has 50 divisors (see below), whose sum is σ = 446623760418. Its totient is φ = 51437339712.

The previous prime is 154312020403. The next prime is 154312020449. The reversal of 154312020432 is 234020213451.

154312020432 is a `hidden beast` number, since 1 + 5 + 431 + 20 + 204 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81683926416 + 72628094016 = 285804^2 + 269496^2 .

It is a super-4 number, since 4×1543120204324 (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 154312020396 and 154312020405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 59532663 + ... + 59535254.

Almost surely, 2154312020432 is an apocalyptic number.

154312020432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

154312020432 is an abundant number, since it is smaller than the sum of its proper divisors (292311739986).

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

154312020432 is a wasteful number, since it uses less digits than its factorization.

154312020432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119067937 (or 119067922 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 154312020432 its reverse (234020213451), we get a palindrome (388332233883).

The spelling of 154312020432 in words is "one hundred fifty-four billion, three hundred twelve million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 119067917 238135834 357203751 476271668 714407502 952543336 1071611253 1428815004 1905086672 2143222506 2857630008 3214833759 4286445012 5715260016 6429667518 8572890024 9644501277 12859335036 17145780048 19289002554 25718670072 38578005108 51437340144 77156010216 154312020432