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1414454525536 = 251329175366883
BaseRepresentation
bin10100100101010100000…
…011110011111001100000
312000012221202201202212111
4110211110003303321200
5141133300324304121
63001442541205104
7204122334043633
oct24452403637140
95005852652774
101414454525536
114a5959783268
121aa169b60794
13a34c8438570
144c6621dbc1a
1526bd71272e1
hex149540f3e60

1414454525536 has 96 divisors (see below), whose sum is σ = 3104142622560. Its totient is φ = 629944971264.

The previous prime is 1414454525531. The next prime is 1414454525537. The reversal of 1414454525536 is 6355254544141.

It is a self number, because there is not a number n which added to its sum of digits gives 1414454525536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414454525531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21114751 + ... + 21181633.

It is an arithmetic number, because the mean of its divisors is an integer number (32334818985).

Almost surely, 21414454525536 is an apocalyptic number.

1414454525536 is a gapful number since it is divisible by the number (16) 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 1414454525536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552071311280).

1414454525536 is an abundant number, since it is smaller than the sum of its proper divisors (1689688097024).

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

1414454525536 is a wasteful number, since it uses less digits than its factorization.

1414454525536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68688 (or 68680 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 49.

The spelling of 1414454525536 in words is "one trillion, four hundred fourteen billion, four hundred fifty-four million, five hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 1753 3016 3506 6032 7012 12064 14024 22789 28048 45578 50837 56096 66883 91156 101674 133766 182312 203348 267532 364624 406696 535064 660881 729248 813392 869479 1070128 1321762 1626784 1738958 1939607 2140256 2643524 3477916 3879214 5287048 6955832 7758428 10574096 13911664 15516856 21148192 25214891 27823328 31033712 50429782 62067424 100859564 117245899 201719128 234491798 403438256 468983596 806876512 937967192 1524196687 1875934384 3048393374 3400131071 3751868768 6096786748 6800262142 12193573496 13600524284 24387146992 27201048568 44201703923 48774293984 54402097136 88403407846 108804194272 176806815692 353613631384 707227262768 1414454525536