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1011433320044 = 227295338361363
BaseRepresentation
bin11101011011111100001…
…11111010111001101100
310120200200112020021001222
432231332013322321230
5113032403412220134
62052351314122512
7133034155240430
oct16557607727154
93520615207058
101011433320044
1135aa45817524
12144032b80438
13744babcc984
1436d4cab29c0
151b49a39ba2e
hexeb7e1fae6c

1011433320044 has 96 divisors (see below), whose sum is σ = 2137705758720. Its totient is φ = 409548642048.

The previous prime is 1011433320017. The next prime is 1011433320061. The reversal of 1011433320044 is 4400233341101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1011433319995 and 1011433320022.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16452107 + ... + 16513469.

It is an arithmetic number, because the mean of its divisors is an integer number (22267768320).

Almost surely, 21011433320044 is an apocalyptic number.

1011433320044 is a gapful number since it is divisible by the number (14) 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 1011433320044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068852879360).

1011433320044 is an abundant number, since it is smaller than the sum of its proper divisors (1126272438676).

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

1011433320044 is a wasteful number, since it uses less digits than its factorization.

1011433320044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61839 (or 61837 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1011433320044 its reverse (4400233341101), we get a palindrome (5411666661145).

The spelling of 1011433320044 in words is "one trillion, eleven billion, four hundred thirty-three million, three hundred twenty thousand, forty-four".

Divisors: 1 2 4 7 14 28 29 53 58 106 116 203 212 371 383 406 742 766 812 1484 1532 1537 2681 3074 5362 6148 10724 10759 11107 20299 21518 22214 40598 43036 44428 61363 77749 81196 122726 142093 155498 245452 284186 310996 429541 568372 588671 859082 1177342 1718164 1779527 2354684 3252239 3559054 4120697 6504478 7118108 8241394 12456689 13008956 16482788 22765673 23502029 24913378 45531346 47004058 49826756 91062692 94008116 94314931 164514203 188629862 329028406 377259724 658056812 660204517 681558841 1245607537 1320409034 1363117682 2491215074 2640818068 2726235364 4770911887 4982430148 8719252759 9541823774 17438505518 19083647548 34877011036 36122618573 72245237146 144490474292 252858330011 505716660022 1011433320044