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10140055322144 = 2511233313783919
BaseRepresentation
bin1001001110001110101001…
…1001010011111000100000
31022220101020220000210021212
42103203222121103320200
52312113313130302034
633322135504405252
72064411011055536
oct223435231237040
938811226023255
1010140055322144
11325a411973540
121179264016828
1358728431a1c7
14270ad1c3c156
15128b759412ce
hex938ea653e20

10140055322144 has 96 divisors (see below), whose sum is σ = 22793607567360. Its totient is φ = 4395399148800.

The previous prime is 10140055322093. The next prime is 10140055322227. The reversal of 10140055322144 is 44122355004101.

It is a super-2 number, since 2×101400553221442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10140055322144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787817 + ... + 4571735.

It is an arithmetic number, because the mean of its divisors is an integer number (237433412160).

Almost surely, 210140055322144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140055322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11396803783680).

10140055322144 is an abundant number, since it is smaller than the sum of its proper divisors (12653552245216).

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

10140055322144 is a wasteful number, since it uses less digits than its factorization.

10140055322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784294 (or 3784286 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 10140055322144 in words is "ten trillion, one hundred forty billion, fifty-five million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 331 352 368 506 662 736 1012 1324 2024 2648 3641 4048 5296 7282 7613 8096 10592 14564 15226 29128 30452 58256 60904 83743 116512 121808 167486 243616 334972 669944 1339888 2679776 3783919 7567838 15135676 30271352 41623109 60542704 83246218 87030137 121085408 166492436 174060274 332984872 348120548 665969744 696241096 957331507 1252477189 1331939488 1392482192 1914663014 2504954378 2784964384 3829326028 5009908756 7658652056 10019817512 13777249079 15317304112 20039635024 27554498158 28806975347 30634608224 40079270048 55108996316 57613950694 110217992632 115227901388 220435985264 230455802776 316876728817 440871970528 460911605552 633753457634 921823211104 1267506915268 2535013830536 5070027661072 10140055322144