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214121032440 = 23357534809547
BaseRepresentation
bin1100011101101010011…
…0111010101011111000
3202110200110111110100220
43013122212322223320
512002004441014230
6242211004500040
721320055513540
oct3073246725370
9673613443326
10214121032440
1182898816947
12355b884a620
1317264a26b83
14a5136a2320
155883013d10
hex31da9baaf8

214121032440 has 128 divisors (see below), whose sum is σ = 747980904960. Its totient is φ = 48018507264.

The previous prime is 214121032421. The next prime is 214121032471. The reversal of 214121032440 is 44230121412.

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 214121032440.

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, 2360254 + ... + 2449293.

It is an arithmetic number, because the mean of its divisors is an integer number (5843600820).

Almost surely, 2214121032440 is an apocalyptic number.

214121032440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214121032440 is an abundant number, since it is smaller than the sum of its proper divisors (533859872520).

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

214121032440 is a wasteful number, since it uses less digits than its factorization.

214121032440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4809621 (or 4809617 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 214121032440 its reverse (44230121412), we get a palindrome (258351153852).

The spelling of 214121032440 in words is "two hundred fourteen billion, one hundred twenty-one million, thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 280 318 371 420 424 530 636 742 795 840 1060 1113 1272 1484 1590 1855 2120 2226 2968 3180 3710 4452 5565 6360 7420 8904 11130 14840 22260 44520 4809547 9619094 14428641 19238188 24047735 28857282 33666829 38476376 48095470 57714564 67333658 72143205 96190940 101000487 115429128 134667316 144286410 168334145 192381880 202000974 254905991 269334632 288572820 336668290 404001948 505002435 509811982 577145640 673336580 764717973 808003896 1010004870 1019623964 1274529955 1346673160 1529435946 1784341937 2020009740 2039247928 2549059910 3058871892 3568683874 3823589865 4040019480 5098119820 5353025811 6117743784 7137367748 7647179730 8921709685 10196239640 10706051622 14274735496 15294359460 17843419370 21412103244 26765129055 30588718920 35686838740 42824206488 53530258110 71373677480 107060516220 214121032440