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4741414401474 = 23223151178742443
BaseRepresentation
bin100010011111111001001…
…0100100011010111000010
3121210021102022200200020100
41010333302110203113002
51110140404041321344
614030101541423230
7666361445303652
oct104776224432702
917707368620210
104741414401474
111568905904043
12646b0210ab16
1328516236977a
141256b29d2362
1583505cd6569
hex44ff25235c2

4741414401474 has 96 divisors (see below), whose sum is σ = 10797003869184. Its totient is φ = 1500867957600.

The previous prime is 4741414401431. The next prime is 4741414401499. The reversal of 4741414401474 is 4741044141474.

4741414401474 is a `hidden beast` number, since 47 + 414 + 14 + 40 + 147 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111691297 + ... + 111733739.

It is an arithmetic number, because the mean of its divisors is an integer number (112468790304).

Almost surely, 24741414401474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4741414401474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5398501934592).

4741414401474 is an abundant number, since it is smaller than the sum of its proper divisors (6055589467710).

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

4741414401474 is a wasteful number, since it uses less digits than its factorization.

4741414401474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44412 (or 44409 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 45.

The spelling of 4741414401474 in words is "four trillion, seven hundred forty-one billion, four hundred fourteen million, four hundred one thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 151 207 302 414 453 906 1359 1787 2718 3473 3574 5361 6946 10419 10722 16083 20838 31257 32166 41101 42443 62514 82202 84886 123303 127329 246606 254658 269837 369909 381987 539674 739818 763974 809511 976189 1619022 1952378 2428533 2928567 4857066 5857134 6206251 6408893 8785701 12412502 12817786 17571402 18618753 19226679 37237506 38453358 55856259 57680037 75845641 111712518 115360074 147404539 151691282 227536923 294809078 442213617 455073846 682610769 884427234 1326640851 1365221538 1744449743 2653281702 3488899486 5233349229 10466698458 11452691791 15700047687 22905383582 31400095374 34358075373 68716150746 103074226119 206148452238 263411911193 526823822386 790235733579 1580471467158 2370707200737 4741414401474