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145483678944 = 2532619816077
BaseRepresentation
bin1000011101111110000…
…0001100010011100000
3111220112000012122002100
42013133200030103200
54340422310211234
6150500112050400
713340135603322
oct2073740142340
9456460178070
10145483678944
115677682030a
1224242233a00
13109469acc36
147081a37612
153bb736a399
hex21df80c4e0

145483678944 has 72 divisors (see below), whose sum is σ = 414388086840. Its totient is φ = 48416156928.

The previous prime is 145483678943. The next prime is 145483678979. The reversal of 145483678944 is 449876384541.

145483678944 is a `hidden beast` number, since 1 + 4 + 5 + 483 + 67 + 8 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145483678943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229767 + ... + 586310.

It is an arithmetic number, because the mean of its divisors is an integer number (5755390095).

Almost surely, 2145483678944 is an apocalyptic number.

It is an amenable number.

145483678944 is an abundant number, since it is smaller than the sum of its proper divisors (268904407896).

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

145483678944 is a wasteful number, since it uses less digits than its factorization.

145483678944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816712 (or 816701 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 145483678944 in words is "one hundred forty-five billion, four hundred eighty-three million, six hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 619 1238 1857 2476 3714 4952 5571 7428 9904 11142 14856 19808 22284 29712 44568 59424 89136 178272 816077 1632154 2448231 3264308 4896462 6528616 7344693 9792924 13057232 14689386 19585848 26114464 29378772 39171696 58757544 78343392 117515088 235030176 505151663 1010303326 1515454989 2020606652 3030909978 4041213304 4546364967 6061819956 8082426608 9092729934 12123639912 16164853216 18185459868 24247279824 36370919736 48494559648 72741839472 145483678944