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40222201430144 = 271723892990007
BaseRepresentation
bin10010010010100111101100…
…00001110100000010000000
312021102012112101010012111102
421021103312001310002000
520233000032031231034
6221313454012033532
711320646435041226
oct1111236601640200
9167365471105442
1040222201430144
11118a815a131348
1246173b9a628a8
131959c253a3b46
149d0a9cdb2b16
1549b41230c97e
hex2494f6074080

40222201430144 has 128 divisors (see below), whose sum is σ = 88543461830400. Its totient is φ = 18102905339904.

The previous prime is 40222201430141. The next prime is 40222201430179. The reversal of 40222201430144 is 44103410222204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (40222201430141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446833589 + ... + 446923595.

It is an arithmetic number, because the mean of its divisors is an integer number (691745795550).

Almost surely, 240222201430144 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 40222201430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44271730915200).

40222201430144 is an abundant number, since it is smaller than the sum of its proper divisors (48321260400256).

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

40222201430144 is a wasteful number, since it uses less digits than its factorization.

40222201430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98990 (or 98978 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 40222201430144 its reverse (44103410222204), we get a palindrome (84325611652348).

The spelling of 40222201430144 in words is "forty trillion, two hundred twenty-two billion, two hundred one million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 272 368 391 544 736 782 1088 1472 1564 2176 2944 3128 6256 8929 12512 17858 25024 35716 50048 71432 90007 142864 151793 180014 205367 285728 303586 360028 410734 571456 607172 720056 821468 1142912 1214344 1440112 1530119 1642936 2070161 2428688 2880224 3060238 3285872 3491239 4140322 4857376 5760448 6120476 6571744 6982478 8280644 9714752 11520896 12240952 13143488 13964956 16561288 19429504 24481904 26286976 27929912 33122576 35192737 48963808 55859824 66245152 70385474 97927616 111719648 132490304 140770948 195855232 223439296 264980608 281541896 446878592 563083792 803672503 1126167584 1607345006 2252335168 3214690012 4504670336 6429380024 12858760048 13662432551 18484467569 25717520096 27324865102 36968935138 51435040192 54649730204 73937870276 102870080384 109299460408 147875740552 218598920816 295751481104 314235948673 437197841632 591502962208 628471897346 874395683264 1183005924416 1256943794692 1748791366528 2366011848832 2513887589384 5027775178768 10055550357536 20111100715072 40222201430144