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45804029229440 = 275437829212593
BaseRepresentation
bin10100110101000100101001…
…11001000011100110000000
320000011211012112212221102022
422122202110321003212000
522000423122440320230
6241230025221341012
712435142354353416
oct1232422471034600
9200154175787368
1045804029229440
111365a41a434009
125179164867768
131c733bc2c2111
14b44cd93892b6
1554670432b1e5
hex29a894e43980

45804029229440 has 128 divisors (see below), whose sum is σ = 112061613866400. Its totient is φ = 17893157732352.

The previous prime is 45804029229293. The next prime is 45804029229457. The reversal of 45804029229440 is 4492292040854.

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

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, 215347784 + ... + 215560376.

Almost surely, 245804029229440 is an apocalyptic number.

45804029229440 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 45804029229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56030806933200).

45804029229440 is an abundant number, since it is smaller than the sum of its proper divisors (66257584636960).

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

45804029229440 is a wasteful number, since it uses less digits than its factorization.

45804029229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220484 (or 220472 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 53.

The spelling of 45804029229440 in words is "forty-five trillion, eight hundred four billion, twenty-nine million, two hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 320 344 430 640 688 860 1376 1720 2752 3440 5504 6880 7829 13760 15658 27520 31316 39145 62632 78290 125264 156580 212593 250528 313160 336647 425186 501056 626320 673294 850372 1002112 1062965 1252640 1346588 1683235 1700744 2125930 2505280 2693176 3366470 3401488 4251860 5010560 5386352 6732940 6802976 8503720 9141499 10772704 13465880 13605952 17007440 18282998 21545408 26931760 27211904 34014880 36565996 43090816 45707495 53863520 68029760 73131992 91414990 107727040 136059520 146263984 182829980 215454080 292527968 365659960 585055936 731319920 1170111872 1462639840 1664390597 2925279680 3328781194 5850559360 6657562388 8321952985 13315124776 16643905970 26630249552 33287811940 53260499104 66575623880 71568795671 106520998208 133151247760 143137591342 213041996416 266302495520 286275182684 357843978355 532604991040 572550365368 715687956710 1065209982080 1145100730736 1431375913420 2290201461472 2862751826840 4580402922944 5725503653680 9160805845888 11451007307360 22902014614720 45804029229440