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3423397620480 = 28356733132409
BaseRepresentation
bin110001110100010010011…
…001100010101100000000
3110010021101110120220210020
4301310102121202230000
5422042104242323410
611140404231533440
7502221661436055
oct61642231425400
913107343526706
103423397620480
1110aa944788702
12473588b2a280
131baa95717896
14bb99c6cd02c
155e0b52e0a70
hex31d12662b00

3423397620480 has 144 divisors (see below), whose sum is σ = 10935182600160. Its totient is φ = 912763551744.

The previous prime is 3423397620431. The next prime is 3423397620551. The reversal of 3423397620480 is 840267933243.

It is a super-2 number, since 2×34233976204802 (a number of 26 digits) contains 22 as substring.

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, 25788516 + ... + 25920924.

Almost surely, 23423397620480 is an apocalyptic number.

3423397620480 is a gapful number since it is divisible by the number (30) 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 3423397620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5467591300080).

3423397620480 is an abundant number, since it is smaller than the sum of its proper divisors (7511784979680).

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

3423397620480 is a wasteful number, since it uses less digits than its factorization.

3423397620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139166 (or 139152 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 3423397620480 in words is "three trillion, four hundred twenty-three billion, three hundred ninety-seven million, six hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 6733 13466 20199 26932 33665 40398 53864 67330 80796 100995 107728 132409 134660 161592 201990 215456 264818 269320 323184 397227 403980 430912 529636 538640 646368 662045 794454 807960 861824 1059272 1077280 1292736 1324090 1588908 1615920 1723648 1986135 2118544 2154560 2585472 2648180 3177816 3231840 3972270 4237088 4309120 5170944 5296360 6355632 6463680 7944540 8474176 8618240 10592720 12711264 12927360 15889080 16948352 21185440 25422528 25854720 31778160 33896704 42370880 50845056 63556320 84741760 101690112 127112640 169483520 254225280 508450560 891509797 1783019594 2674529391 3566039188 4457548985 5349058782 7132078376 8915097970 10698117564 13372646955 14264156752 17830195940 21396235128 26745293910 28528313504 35660391880 42792470256 53490587820 57056627008 71320783760 85584940512 106981175640 114113254016 142641567520 171169881024 213962351280 228226508032 285283135040 342339762048 427924702560 570566270080 684679524096 855849405120 1141132540160 1711698810240 3423397620480