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4033122122040 = 2335117938675893
BaseRepresentation
bin111010101100001000110…
…011111011100100111000
3112021120012012210211120220
4322230020303323210320
51012034313230401130
612324442444020040
7564245345254434
oct72541063734470
915246165724526
104033122122040
11131548a327150
12551790531620
13233424c62b0b
14dd2c029d9c4
156ed9dc4c410
hex3ab08cfb938

4033122122040 has 128 divisors (see below), whose sum is σ = 13366388966400. Its totient is φ = 965350264320.

The previous prime is 4033122122027. The next prime is 4033122122093. The reversal of 4033122122040 is 402212213304.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4033122122040.

It is a congruent number.

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, 19233667 + ... + 19442226.

It is an arithmetic number, because the mean of its divisors is an integer number (104424913800).

Almost surely, 24033122122040 is an apocalyptic number.

4033122122040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4033122122040 is an abundant number, since it is smaller than the sum of its proper divisors (9333266844360).

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

4033122122040 is a wasteful number, since it uses less digits than its factorization.

4033122122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38675997 (or 38675993 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4033122122040 its reverse (402212213304), we get a palindrome (4435334335344).

The spelling of 4033122122040 in words is "four trillion, thirty-three billion, one hundred twenty-two million, one hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 79 88 110 120 132 158 165 220 237 264 316 330 395 440 474 632 660 790 869 948 1185 1320 1580 1738 1896 2370 2607 3160 3476 4345 4740 5214 6952 8690 9480 10428 13035 17380 20856 26070 34760 52140 104280 38675893 77351786 116027679 154703572 193379465 232055358 309407144 386758930 425434823 464110716 580138395 773517860 850869646 928221432 1160276790 1276304469 1547035720 1701739292 2127174115 2320553580 2552608938 3055395547 3403478584 4254348230 4641107160 5105217876 6110791094 6381522345 8508696460 9166186641 10210435752 12221582188 12763044690 15276977735 17017392920 18332373282 24443164376 25526089380 30553955470 33609351017 36664746564 45830933205 51052178760 61107910940 67218702034 73329493128 91661866410 100828053051 122215821880 134437404068 168046755085 183323732820 201656106102 268874808136 336093510170 366647465640 403312212204 504140265255 672187020340 806624424408 1008280530510 1344374040680 2016561061020 4033122122040