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20154310440 = 23351119317907
BaseRepresentation
bin10010110001010010…
…100101111100101000
31221000120220001101020
4102301102211330220
5312234000413230
613131520452440
71312304545365
oct226122457450
957016801336
1020154310440
118602645810
123aa577a120
131b926557a4
14d929b346c
157ce59c810
hex4b14a5f28

20154310440 has 128 divisors (see below), whose sum is σ = 66002065920. Its totient is φ = 4882745600.

The previous prime is 20154310433. The next prime is 20154310469. The reversal of 20154310440 is 4401345102.

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 20154310440.

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, 2544967 + ... + 2552873.

It is an arithmetic number, because the mean of its divisors is an integer number (515641140).

Almost surely, 220154310440 is an apocalyptic number.

20154310440 is a gapful number since it is divisible by the number (20) 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 20154310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33001032960).

20154310440 is an abundant number, since it is smaller than the sum of its proper divisors (45847755480).

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

20154310440 is a wasteful number, since it uses less digits than its factorization.

20154310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9863 (or 9859 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 20154310440 its reverse (4401345102), we get a palindrome (24555655542).

The spelling of 20154310440 in words is "twenty billion, one hundred fifty-four million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1931 3862 5793 7724 7907 9655 11586 15448 15814 19310 21241 23172 23721 28965 31628 38620 39535 42482 46344 47442 57930 63256 63723 77240 79070 84964 86977 94884 106205 115860 118605 127446 158140 169928 173954 189768 212410 231720 237210 254892 260931 316280 318615 347908 424820 434885 474420 509784 521862 637230 695816 849640 869770 948840 1043724 1274460 1304655 1739540 2087448 2548920 2609310 3479080 5218620 10437240 15268417 30536834 45805251 61073668 76342085 91610502 122147336 152684170 167952587 183221004 229026255 305368340 335905174 366442008 458052510 503857761 610736680 671810348 839762935 916105020 1007715522 1343620696 1679525870 1832210040 2015431044 2519288805 3359051740 4030862088 5038577610 6718103480 10077155220 20154310440