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45032122040 = 2354153717297
BaseRepresentation
bin101001111100000111…
…111010011010111000
311022020100212211012212
4221330013322122320
51214211210401130
632404254354252
73152636502353
oct517407723270
9138210784185
1045032122040
1118109505894
1288891bb988
134328779c79
142272a3129a
151288685e95
hexa7c1fa6b8

45032122040 has 128 divisors (see below), whose sum is σ = 107256078720. Its totient is φ = 16996761600.

The previous prime is 45032122013. The next prime is 45032122123. The reversal of 45032122040 is 4022123054.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45032121997 and 45032122015.

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, 6167672 + ... + 6174968.

It is an arithmetic number, because the mean of its divisors is an integer number (837938115).

Almost surely, 245032122040 is an apocalyptic number.

45032122040 is a gapful number since it is divisible by the number (40) 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 45032122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53628039360).

45032122040 is an abundant number, since it is smaller than the sum of its proper divisors (62223956680).

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

45032122040 is a wasteful number, since it uses less digits than its factorization.

45032122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7473 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 45032122040 its reverse (4022123054), we get a palindrome (49054245094).

The spelling of 45032122040 in words is "forty-five billion, thirty-two million, one hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 53 71 82 106 142 164 205 212 265 284 328 355 410 424 530 568 710 820 1060 1420 1640 2120 2173 2840 2911 3763 4346 5822 7297 7526 8692 10865 11644 14555 14594 15052 17384 18815 21730 23288 29110 29188 30104 36485 37630 43460 58220 58376 72970 75260 86920 116440 145940 150520 154283 291880 299177 308566 386741 518087 598354 617132 771415 773482 1036174 1196708 1234264 1495885 1542830 1546964 1933705 2072348 2393416 2590435 2991770 3085660 3093928 3867410 4144696 5180870 5983540 6171320 7734820 10361740 11967080 15469640 15856381 20723480 21241567 27458611 31712762 42483134 54917222 63425524 79281905 84966268 106207835 109834444 126851048 137293055 158563810 169932536 212415670 219668888 274586110 317127620 424831340 549172220 634255240 849662680 1098344440 1125803051 2251606102 4503212204 5629015255 9006424408 11258030510 22516061020 45032122040