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40222053134656 = 2617619228126183
BaseRepresentation
bin10010010010100111011010…
…01100000111000101000000
312021102012011001002000022221
421021103231030013011000
520232444231100302111
6221313431153340424
711320642654410661
oct1111235514070500
9167365131060287
1040222053134656
11118a8093453798
124617378267714
131959c00750a33
149d0a8740d368
1549b4042b8371
hex2494ed307140

40222053134656 has 112 divisors (see below), whose sum is σ = 84687545900160. Its totient is φ = 18888440463360.

The previous prime is 40222053134647. The next prime is 40222053134713. The reversal of 40222053134656 is 65643135022204.

It is a congruent number.

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, 1536176541 + ... + 1536202723.

It is an arithmetic number, because the mean of its divisors is an integer number (756138802680).

Almost surely, 240222053134656 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 40222053134656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42343772950080).

40222053134656 is an abundant number, since it is smaller than the sum of its proper divisors (44465492765504).

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

40222053134656 is a wasteful number, since it uses less digits than its factorization.

40222053134656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29112 (or 29102 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 43.

The spelling of 40222053134656 in words is "forty trillion, two hundred twenty-two billion, fifty-three million, one hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 619 1088 1238 2281 2476 4562 4952 9124 9904 10523 18248 19808 21046 26183 36496 38777 39616 42092 52366 72992 77554 84184 104732 145984 155108 168368 209464 310216 336736 418928 445111 620432 673472 837856 890222 1240864 1411939 1675712 1780444 2481728 2823878 3560888 5647756 7121776 11295512 14243552 16207277 22591024 24002963 28487104 32414554 45182048 48005926 59723423 64829108 90364096 96011852 119446846 129658216 192023704 238893692 259316432 275523709 384047408 477787384 518632864 551047418 768094816 955574768 1015298191 1037265728 1102094836 1536189632 1911149536 2030596382 2204189672 3822299072 4061192764 4408379344 8122385528 8816758688 16244771056 17633517376 32489542112 36968798837 64979084224 73937597674 147875195348 295750390696 591500781392 628469580229 1183001562784 1256939160458 2366003125568 2513878320916 5027756641832 10055513283664 20111026567328 40222053134656