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1134325145040 = 243535313389107
BaseRepresentation
bin10000100000011011000…
…011000001110111010000
311000102220001212210200220
4100200123003001313100
5122041044214120130
62225033552313040
7144644430434463
oct20403303016720
94012801783626
101134325145040
113a8078a7755a
12163a0b242780
1382c74254a99
143cc8a1032da
151e78e179410
hex1081b0c1dd0

1134325145040 has 80 divisors (see below), whose sum is σ = 3526369708608. Its totient is φ = 301629779968.

The previous prime is 1134325145039. The next prime is 1134325145053. The reversal of 1134325145040 is 405415234311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1134325144992 and 1134325145010.

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, 6609834 + ... + 6779273.

Almost surely, 21134325145040 is an apocalyptic number.

1134325145040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134325145040 is an abundant number, since it is smaller than the sum of its proper divisors (2392044563568).

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

1134325145040 is a wasteful number, since it uses less digits than its factorization.

1134325145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13389476 (or 13389470 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 1134325145040 in words is "one trillion, one hundred thirty-four billion, three hundred twenty-five million, one hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 353 706 1059 1412 1765 2118 2824 3530 4236 5295 5648 7060 8472 10590 14120 16944 21180 28240 42360 84720 13389107 26778214 40167321 53556428 66945535 80334642 107112856 133891070 160669284 200836605 214225712 267782140 321338568 401673210 535564280 642677136 803346420 1071128560 1606692840 3213385680 4726354771 9452709542 14179064313 18905419084 23631773855 28358128626 37810838168 47263547710 56716257252 70895321565 75621676336 94527095420 113432514504 141790643130 189054190840 226865029008 283581286260 378108381680 567162572520 1134325145040