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4345454315040 = 253563311142993
BaseRepresentation
bin111111001111000001010…
…000101100011000100000
3120101102101011221011210220
4333033001100230120200
51032143442301040130
613124135114523040
7625643260144416
oct77170120543040
916342334834726
104345454315040
111425995747593
125a2217a36480
13256a0b9b6237
1411046d1b32b6
157807dde9410
hex3f3c142c620

4345454315040 has 96 divisors (see below), whose sum is σ = 13688493025536. Its totient is φ = 1158761410560.

The previous prime is 4345454315039. The next prime is 4345454315099. The reversal of 4345454315040 is 405134545434.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4345454314983 and 4345454315001.

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, 30317784 + ... + 30460776.

It is an arithmetic number, because the mean of its divisors is an integer number (142588469016).

Almost surely, 24345454315040 is an apocalyptic number.

4345454315040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4345454315040 is an abundant number, since it is smaller than the sum of its proper divisors (9343038710496).

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

4345454315040 is a wasteful number, since it uses less digits than its factorization.

4345454315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206322 (or 206314 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 4345454315040 in words is "four trillion, three hundred forty-five billion, four hundred fifty-four million, three hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 63311 126622 142993 189933 253244 285986 316555 379866 428979 506488 571972 633110 714965 759732 857958 949665 1012976 1143944 1266220 1429930 1519464 1715916 1899330 2025952 2144895 2287888 2532440 2859860 3038928 3431832 3798660 4289790 4575776 5064880 5719720 6077856 6863664 7597320 8579580 10129760 11439440 13727328 15194640 17159160 22878880 30389280 34318320 68636640 9053029823 18106059646 27159089469 36212119292 45265149115 54318178938 72424238584 90530298230 108636357876 135795447345 144848477168 181060596460 217272715752 271590894690 289696954336 362121192920 434545431504 543181789380 724242385840 869090863008 1086363578760 1448484771680 2172727157520 4345454315040