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1438909496532 = 2234311093131071
BaseRepresentation
bin10100111100000101101…
…100000111110011010100
312002120002002002000110000
4110330011230013303110
5142033341312342112
63021005332131300
7205646342626314
oct24740554076324
95076062060400
101438909496532
115052689979a2
121b2a53a66b30
13a58c4a820c1
144d90202b444
15276690397dc
hex14f05b07cd4

1438909496532 has 120 divisors (see below), whose sum is σ = 3886517583872. Its totient is φ = 463736145600.

The previous prime is 1438909496503. The next prime is 1438909496551. The reversal of 1438909496532 is 2356949098341.

1438909496532 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 9 + 0 + 9 + 4 + 96 + 532 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1438909496532.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10912557 + ... + 11043627.

Almost surely, 21438909496532 is an apocalyptic number.

1438909496532 is a gapful number since it is divisible by the number (12) 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 1438909496532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943258791936).

1438909496532 is an abundant number, since it is smaller than the sum of its proper divisors (2447608087340).

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

1438909496532 is a wasteful number, since it uses less digits than its factorization.

1438909496532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132211 (or 132200 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 1438909496532 in words is "one trillion, four hundred thirty-eight billion, nine hundred nine million, four hundred ninety-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1093 1116 1674 2186 2511 3279 3348 4372 5022 6558 9837 10044 13116 19674 29511 33883 39348 59022 67766 88533 101649 118044 131071 135532 177066 203298 262142 304947 354132 393213 406596 524284 609894 786426 914841 1179639 1219788 1572852 1829682 2359278 2744523 3538917 3659364 4063201 4718556 5489046 7077834 8126402 10616751 10978092 12189603 14155668 16252804 21233502 24379206 36568809 42467004 48758412 73137618 109706427 143260603 146275236 219412854 286521206 329119281 429781809 438825708 573042412 658238562 859563618 1289345427 1316477124 1719127236 2578690854 3868036281 4441078693 5157381708 7736072562 8882157386 11604108843 13323236079 15472145124 17764314772 23208217686 26646472158 39969708237 46416435372 53292944316 79939416474 119909124711 159878832948 239818249422 359727374133 479636498844 719454748266 1438909496532