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40022412144 = 24311136838537
BaseRepresentation
bin100101010001100001…
…011000101101110000
310211022020020012011220
4211101201120231300
51123431214142034
630215215105040
72614535614221
oct452141305560
9124266205156
1040022412144
1115a78676680
12790b512180
133a0a8cb8a0
141d19563248
151093962749
hex951858b70

40022412144 has 160 divisors (see below), whose sum is σ = 121658713344. Its totient is φ = 11177379840.

The previous prime is 40022412127. The next prime is 40022412149. The reversal of 40022412144 is 44121422004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40022412149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4683844 + ... + 4692380.

Almost surely, 240022412144 is an apocalyptic number.

40022412144 is a gapful number since it is divisible by the number (44) 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 40022412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60829356672).

40022412144 is an abundant number, since it is smaller than the sum of its proper divisors (81636301200).

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

40022412144 is a wasteful number, since it uses less digits than its factorization.

40022412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9255 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 40022412144 its reverse (44121422004), we get a palindrome (84143834148).

The spelling of 40022412144 in words is "forty billion, twenty-two million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 683 858 1144 1366 1716 2049 2288 2732 3432 4098 5464 6864 7513 8196 8537 8879 10928 15026 16392 17074 17758 22539 25611 26637 30052 32784 34148 35516 45078 51222 53274 60104 68296 71032 90156 93907 97669 102444 106548 110981 120208 136592 142064 180312 187814 195338 204888 213096 221962 281721 293007 332943 360624 375628 390676 409776 426192 443924 563442 586014 665886 751256 781352 887848 1126884 1172028 1220791 1331772 1502512 1562704 1775696 2253768 2344056 2441582 2663544 3662373 4507536 4688112 4883164 5327088 5830771 7324746 9766328 11661542 14649492 17492313 19532656 23323084 29298984 34984626 46646168 58597968 64138481 69969252 75800023 93292336 128276962 139938504 151600046 192415443 227400069 256553924 279877008 303200092 384830886 454800138 513107848 606400184 769661772 833800253 909600276 1026215696 1212800368 1539323544 1667600506 1819200552 2501400759 3078647088 3335201012 3638401104 5002801518 6670402024 10005603036 13340804048 20011206072 40022412144