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441294492144 = 243114319436861
BaseRepresentation
bin1100110101111110011…
…00111001000111110000
31120012001120102220212210
412122333030321013300
524212232342222034
6534421120252120
743611455202252
oct6327714710760
91505046386783
10441294492144
11160174266560
1271638771040
13327c994a88c
1417504659cd2
15b72bd838e9
hex66bf3391f0

441294492144 has 80 divisors (see below), whose sum is σ = 1272570228864. Its totient is φ = 130615699200.

The previous prime is 441294492139. The next prime is 441294492203.

441294492144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 441294492093 and 441294492102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9695727 + ... + 9741134.

Almost surely, 2441294492144 is an apocalyptic number.

441294492144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441294492144 is an abundant number, since it is smaller than the sum of its proper divisors (831275736720).

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

441294492144 is a wasteful number, since it uses less digits than its factorization.

441294492144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19436926 (or 19436920 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 441294492144 in words is "four hundred forty-one billion, two hundred ninety-four million, four hundred ninety-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 1032 1419 1892 2064 2838 3784 5676 7568 11352 22704 19436861 38873722 58310583 77747444 116621166 155494888 213805471 233242332 310989776 427610942 466484664 641416413 835785023 855221884 932969328 1282832826 1671570046 1710443768 2507355069 2565665652 3343140092 3420887536 5014710138 5131331304 6686280184 9193635253 10029420276 10262662608 13372560368 18387270506 20058840552 27580905759 36774541012 40117681104 55161811518 73549082024 110323623036 147098164048 220647246072 441294492144