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1257023706040 = 235712831564007
BaseRepresentation
bin10010010010101100011…
…100111001001110111000
311110011121010212111222001
4102102230130321032320
5131043341032043130
62401245124310344
7156550135130614
oct22225434711670
94404533774861
101257023706040
11445112125483
121837528423b4
13916c95408bb
1444ba99c6344
1522a70ecd6ca
hex124ac7393b8

1257023706040 has 64 divisors (see below), whose sum is σ = 2878275202560. Its totient is φ = 493975655040.

The previous prime is 1257023706023. The next prime is 1257023706077. The reversal of 1257023706040 is 406073207521.

It is a happy number.

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, 21717 + ... + 1585723.

It is an arithmetic number, because the mean of its divisors is an integer number (44973050040).

Almost surely, 21257023706040 is an apocalyptic number.

1257023706040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1257023706040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439137601280).

1257023706040 is an abundant number, since it is smaller than the sum of its proper divisors (1621251496520).

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

1257023706040 is a wasteful number, since it uses less digits than its factorization.

1257023706040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564372 (or 1564368 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 1257023706040 in words is "one trillion, two hundred fifty-seven billion, twenty-three million, seven hundred six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 283 284 355 566 568 710 1132 1415 1420 2264 2830 2840 5660 11320 20093 40186 80372 100465 160744 200930 401860 803720 1564007 3128014 6256028 7820035 12512056 15640070 31280140 62560280 111044497 222088994 442613981 444177988 555222485 885227962 888355976 1110444970 1770455924 2213069905 2220889940 3540911848 4426139810 4441779880 8852279620 17704559240 31425592651 62851185302 125702370604 157127963255 251404741208 314255926510 628511853020 1257023706040