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1114156247296 = 2837217832
BaseRepresentation
bin10000001101101000111…
…000110010100100000000
310221111211110112122022011
4100031220320302210000
5121223242444403141
62211500351022304
7143331554562361
oct20155070624400
93844743478264
101114156247296
1139a569179124
1215bb2080a994
13810ab892771
143bcd5613b68
151dead699881
hex10368e32900

1114156247296 has 81 divisors (see below), whose sum is σ = 2286974526921. Its totient is φ = 541717963776.

The previous prime is 1114156247279. The next prime is 1114156247341. The reversal of 1114156247296 is 6927426514111.

The square root of 1114156247296 is 1055536.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 996962310400 + 117193936896 = 998480^2 + 342336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 624876421 + ... + 624878203.

Almost surely, 21114156247296 is an apocalyptic number.

1114156247296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1114156247296 is the 1055536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114156247296

1114156247296 is an abundant number, since it is smaller than the sum of its proper divisors (1172818279625).

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

1114156247296 is an frugal number, since it uses more digits than its factorization.

1114156247296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 1822 counting only the distinct ones).

The product of its digits is 725760, while the sum is 49.

Multiplying 1114156247296 by its sum of digits (49), we get a square (54593656117504 = 73887522).

The spelling of 1114156247296 in words is "one trillion, one hundred fourteen billion, one hundred fifty-six million, two hundred forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 1369 1783 2368 2738 3566 4736 5476 7132 9472 10952 14264 21904 28528 43808 57056 65971 87616 114112 131942 175232 228224 263884 350464 456448 527768 1055536 2111072 2440927 3179089 4222144 4881854 6358178 8444288 9763708 12716356 16888576 19527416 25432712 39054832 50865424 78109664 101730848 117626293 156219328 203461696 235252586 312438656 406923392 470505172 624877312 813846784 941010344 1882020688 3764041376 4352172841 7528082752 8704345682 15056165504 17408691364 30112331008 34817382728 69634765456 139269530912 278539061824 557078123648 1114156247296