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45031361280 = 283543272719
BaseRepresentation
bin101001111100000101…
…000000101100000000
311022020022110011122120
4221330011000230000
51214211012030110
632404230204240
73152630153403
oct517405005400
9138208404576
1045031361280
1118109036264
128888ab3680
134328571909
1422728b3d3a
151288585870
hexa7c140b00

45031361280 has 144 divisors (see below), whose sum is σ = 147164075520. Its totient is φ = 11729055744.

The previous prime is 45031361227. The next prime is 45031361311. The reversal of 45031361280 is 8216313054.

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, 28761 + ... + 301479.

Almost surely, 245031361280 is an apocalyptic number.

45031361280 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 45031361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73582037760).

45031361280 is an abundant number, since it is smaller than the sum of its proper divisors (102132714240).

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

45031361280 is a wasteful number, since it uses less digits than its factorization.

45031361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272786 (or 272772 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 45031361280 in words is "forty-five billion, thirty-one million, three hundred sixty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 256 258 320 344 384 430 480 516 640 645 688 768 860 960 1032 1280 1290 1376 1720 1920 2064 2580 2752 3440 3840 4128 5160 5504 6880 8256 10320 11008 13760 16512 20640 27520 33024 41280 55040 82560 165120 272719 545438 818157 1090876 1363595 1636314 2181752 2727190 3272628 4090785 4363504 5454380 6545256 8181570 8727008 10908760 11726917 13090512 16363140 17454016 21817520 23453834 26181024 32726280 34908032 35180751 43635040 46907668 52362048 58634585 65452560 69816064 70361502 87270080 93815336 104724096 117269170 130905120 140723004 174540160 175903755 187630672 209448192 234538340 261810240 281446008 349080320 351807510 375261344 469076680 523620480 562892016 703615020 750522688 938153360 1047240960 1125784032 1407230040 1501045376 1876306720 2251568064 2814460080 3002090752 3752613440 4503136128 5628920160 7505226880 9006272256 11257840320 15010453760 22515680640 45031361280