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414013154240 = 2657315962171
BaseRepresentation
bin1100000011001010001…
…10110110001111000000
31110120122021210100210102
412001211012312033000
523240344331413430
6514110042421532
741624426514050
oct6014506661700
91416567710712
10414013154240
1114a6446a5604
12682a42018a8
133006c8a469a
1416077301560
15ab81c79345
hex60651b63c0

414013154240 has 112 divisors (see below), whose sum is σ = 1163052816384. Its totient is φ = 137368396800.

The previous prime is 414013154237. The next prime is 414013154257. The reversal of 414013154240 is 42451310414.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 2911646 + ... + 3050525.

Almost surely, 2414013154240 is an apocalyptic number.

414013154240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414013154240 is an abundant number, since it is smaller than the sum of its proper divisors (749039662144).

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

414013154240 is a wasteful number, since it uses less digits than its factorization.

414013154240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962226 (or 5962216 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 414013154240 its reverse (42451310414), we get a palindrome (456464464654).

The spelling of 414013154240 in words is "four hundred fourteen billion, thirteen million, one hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 140 155 160 217 224 248 280 310 320 434 448 496 560 620 868 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 4340 4960 6944 8680 9920 13888 17360 34720 69440 5962171 11924342 23848684 29810855 41735197 47697368 59621710 83470394 95394736 119243420 166940788 184827301 190789472 208675985 238486840 333881576 369654602 381578944 417351970 476973680 667763152 739309204 834703940 924136505 953947360 1293791107 1335526304 1478618408 1669407880 1848273010 1907894720 2587582214 2671052608 2957236816 3338815760 3696546020 5175164428 5914473632 6468955535 6677631520 7393092040 10350328856 11828947264 12937911070 13355263040 14786184080 20700657712 25875822140 29572368160 41401315424 51751644280 59144736320 82802630848 103503288560 207006577120 414013154240