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514020422040 = 23358982958057
BaseRepresentation
bin1110111101011100000…
…00010011000110011000
31211010202222002221120220
413132232000103012120
531410203212001130
61032045425320040
752064622332346
oct7365600230630
91733688087526
10514020422040
11188aa4145054
1283754496020
1339619a5a1a8
141ac432d4996
15d58694c410
hex77ae013198

514020422040 has 128 divisors (see below), whose sum is σ = 1561295736000. Its totient is φ = 135366156288.

The previous prime is 514020421997. The next prime is 514020422077. The reversal of 514020422040 is 40224020415.

It is a happy number.

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 514020422040.

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, 8824692 + ... + 8882748.

Almost surely, 2514020422040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514020422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780647868000).

514020422040 is an abundant number, since it is smaller than the sum of its proper divisors (1047275313960).

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

514020422040 is a wasteful number, since it uses less digits than its factorization.

514020422040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58989 (or 58985 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 514020422040 its reverse (40224020415), we get a palindrome (554244442455).

The spelling of 514020422040 in words is "five hundred fourteen billion, twenty million, four hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 829 890 1068 1335 1658 1780 2136 2487 2670 3316 3560 4145 4974 5340 6632 8290 9948 10680 12435 16580 19896 24870 33160 49740 58057 73781 99480 116114 147562 174171 221343 232228 290285 295124 348342 368905 442686 464456 580570 590248 696684 737810 870855 885372 1106715 1161140 1393368 1475620 1741710 1770744 2213430 2322280 2951240 3483420 4426860 5167073 6966840 8853720 10334146 15501219 20668292 25835365 31002438 41336584 48129253 51670730 62004876 77506095 96258506 103341460 124009752 144387759 155012190 192517012 206682920 240646265 288775518 310024380 385034024 481292530 577551036 620048760 721938795 962585060 1155102072 1443877590 1925170120 2887755180 4283503517 5775510360 8567007034 12850510551 17134014068 21417517585 25701021102 34268028136 42835035170 51402042204 64252552755 85670070340 102804084408 128505105510 171340140680 257010211020 514020422040