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4300874057040 = 2435117920621759
BaseRepresentation
bin111110100101100000000…
…100100000010101010000
3120020011022022022102112020
4332211200010200111100
51030431142224311130
613051443321131440
7622504445203641
oct76454004402520
916204268272466
104300874057040
111408a99310960
12595656029b80
13252755a39552
1410c2405a76c8
1576d2026de10
hex3e960120550

4300874057040 has 160 divisors (see below), whose sum is σ = 14728885862400. Its totient is φ = 1029438159360.

The previous prime is 4300874057033. The next prime is 4300874057069. The reversal of 4300874057040 is 407504780034.

It is a junction number, because it is equal to n+sod(n) for n = 4300874056983 and 4300874057001.

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, 10102320 + ... + 10519439.

It is an arithmetic number, because the mean of its divisors is an integer number (92055536640).

Almost surely, 24300874057040 is an apocalyptic number.

4300874057040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4300874057040 is an abundant number, since it is smaller than the sum of its proper divisors (10428011805360).

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

4300874057040 is a wasteful number, since it uses less digits than its factorization.

4300874057040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20621865 (or 20621859 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 4300874057040 in words is "four trillion, three hundred billion, eight hundred seventy-four million, fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 79 80 88 110 120 132 158 165 176 220 237 240 264 316 330 395 440 474 528 632 660 790 869 880 948 1185 1264 1320 1580 1738 1896 2370 2607 2640 3160 3476 3792 4345 4740 5214 6320 6952 8690 9480 10428 13035 13904 17380 18960 20856 26070 34760 41712 52140 69520 104280 208560 20621759 41243518 61865277 82487036 103108795 123730554 164974072 206217590 226839349 247461108 309326385 329948144 412435180 453678698 494922216 618652770 680518047 824870360 907357396 989844432 1134196745 1237305540 1361036094 1629118961 1649740720 1814714792 2268393490 2474611080 2722072188 3258237922 3402590235 3629429584 4536786980 4887356883 4949222160 5444144376 6516475844 6805180470 8145594805 9073573960 9774713766 10888288752 13032951688 13610360940 16291189610 17920308571 18147147920 19549427532 24436784415 26065903376 27220721880 32582379220 35840617142 39098855064 48873568830 53760925713 54441443760 65164758440 71681234284 78197710128 89601542855 97747137660 107521851426 130329516880 143362468568 179203085710 195494275320 215043702852 268804628565 286724937136 358406171420 390988550640 430087405704 537609257130 716812342840 860174811408 1075218514260 1433624685680 2150437028520 4300874057040