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1306020144544 = 256113122922303
BaseRepresentation
bin10011000000010100110…
…111011110010110100000
311121212001210022111000121
4103000110313132112200
5132344212124111134
62435551040130024
7163233253030243
oct23002467362640
94555053274017
101306020144544
11463975361965
12191147606914
13962073c734b
14472d6d1d25a
1523e8c6dbab4
hex13014dde5a0

1306020144544 has 96 divisors (see below), whose sum is σ = 2644945712640. Its totient is φ = 634590028800.

The previous prime is 1306020144461. The next prime is 1306020144617. The reversal of 1306020144544 is 4454410206031.

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, 58546897 + ... + 58569199.

It is an arithmetic number, because the mean of its divisors is an integer number (27551517840).

Almost surely, 21306020144544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306020144544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322472856320).

1306020144544 is an abundant number, since it is smaller than the sum of its proper divisors (1338925568096).

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

1306020144544 is a wasteful number, since it uses less digits than its factorization.

1306020144544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22734 (or 22726 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 1306020144544 in words is "one trillion, three hundred six billion, twenty million, one hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 61 122 131 229 244 262 458 488 524 916 976 1048 1832 1952 2096 3664 4192 7328 7991 13969 15982 22303 27938 29999 31964 44606 55876 59998 63928 89212 111752 119996 127856 178424 223504 239992 255712 356848 447008 479984 713696 959968 1360483 1829939 2720966 2921693 3659878 5107387 5441932 5843386 7319756 10214774 10883864 11686772 14639512 20429548 21767728 23373544 29279024 40859096 43535456 46747088 58558048 81718192 93494176 163436384 178223273 311550607 356446546 623101214 669067697 712893092 1246202428 1338135394 1425786184 2492404856 2676270788 2851572368 4984809712 5352541576 5703144736 9969619424 10705083152 21410166304 40813129517 81626259034 163252518068 326505036136 653010072272 1306020144544