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1014050534440 = 235194099113581
BaseRepresentation
bin11101100000110100001…
…11110011010000101000
310120221102220222112021111
432300122013303100220
5113103233414100230
62053503130120104
7133156055216206
oct16603207632050
93527386875244
101014050534440
113610690aa429
12144643580034
13748171bc148
143711a516076
151b5a002c92a
hexec1a1f3428

1014050534440 has 128 divisors (see below), whose sum is σ = 2410886592000. Its totient is φ = 382804531200.

The previous prime is 1014050534359. The next prime is 1014050534473. The reversal of 1014050534440 is 444350504101.

It is a super-2 number, since 2×10140505344402 (a number of 25 digits) contains 22 as substring.

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, 283173450 + ... + 283177030.

It is an arithmetic number, because the mean of its divisors is an integer number (18835051500).

Almost surely, 21014050534440 is an apocalyptic number.

1014050534440 is a gapful number since it is divisible by the number (10) 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 1014050534440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205443296000).

1014050534440 is an abundant number, since it is smaller than the sum of its proper divisors (1396836057560).

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

1014050534440 is a wasteful number, since it uses less digits than its factorization.

1014050534440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4931 (or 4927 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 1014050534440 in words is "one trillion, fourteen billion, fifty million, five hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 409 760 818 911 1636 1822 2045 3272 3581 3644 4090 4555 7162 7288 7771 8180 9110 14324 15542 16360 17309 17905 18220 28648 31084 34618 35810 36440 38855 62168 68039 69236 71620 77710 86545 136078 138472 143240 155420 173090 272156 310840 340195 346180 372599 544312 680390 692360 745198 1360780 1464629 1490396 1862995 2721560 2929258 2980792 3262291 3725990 5858516 6524582 7079381 7323145 7451980 11717032 13049164 14158762 14646290 14903960 16311455 26098328 27827951 28317524 29292580 32622910 35396905 55655902 56635048 58585160 61983529 65245820 70793810 111311804 123967058 130491640 139139755 141587620 222623608 247934116 278279510 283175240 309917645 495868232 556559020 619835290 1113118040 1239670580 1334277019 2479341160 2668554038 5337108076 6671385095 10674216152 13342770190 25351263361 26685540380 50702526722 53371080760 101405053444 126756316805 202810106888 253512633610 507025267220 1014050534440