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1036054214514 = 23211311371232069
BaseRepresentation
bin11110001001110011010…
…01001011011101110010
310200001020101210021212100
433010321221023131302
5113433314334331024
62111542353241230
7134565250343034
oct17047151133562
93601211707770
101036054214514
1136a42a6599a0
12148964563216
1376912a2c197
1438206973c54
151be3bb367c9
hexf139a4b772

1036054214514 has 96 divisors (see below), whose sum is σ = 2546304284160. Its totient is φ = 301610246400.

The previous prime is 1036054214497. The next prime is 1036054214519. The reversal of 1036054214514 is 4154124506301.

1036054214514 is a `hidden beast` number, since 1 + 0 + 3 + 60 + 542 + 1 + 4 + 51 + 4 = 666.

It is a super-3 number, since 3×10360542145143 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1036054214519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224872 + ... + 1456940.

It is an arithmetic number, because the mean of its divisors is an integer number (26524002960).

Almost surely, 21036054214514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036054214514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273152142080).

1036054214514 is an abundant number, since it is smaller than the sum of its proper divisors (1510250069646).

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

1036054214514 is a wasteful number, since it uses less digits than its factorization.

1036054214514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232256 (or 1232253 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1036054214514 in words is "one trillion, thirty-six billion, fifty-four million, two hundred fourteen thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 137 186 198 274 279 341 411 558 682 822 1023 1233 1507 2046 2466 3014 3069 4247 4521 6138 8494 9042 12741 13563 25482 27126 38223 46717 76446 93434 140151 280302 420453 840906 1232069 2464138 3696207 7392414 11088621 13552759 22177242 27105518 38194139 40658277 76388278 81316554 114582417 121974831 168793453 229164834 243949662 337586906 343747251 420135529 506380359 687494502 840271058 1012760718 1260406587 1519141077 1856727983 2520813174 3038282154 3713455966 3781219761 5232597043 5570183949 7562439522 10465194086 11140367898 15697791129 16710551847 31395582258 33421103694 47093373387 57558567473 94186746774 115117134946 172675702419 345351404838 518027107257 1036054214514