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7421377040 = 2457112295261
BaseRepresentation
bin1101110100101100…
…10011101000010000
3201011012122000102022
412322112103220100
5110144333031130
63224225511012
7351623443520
oct67226235020
921135560368
107421377040
1131691a0460
1215314a2468
139136c067c
145058c7680
152d68017e5
hex1ba593a10

7421377040 has 160 divisors (see below), whose sum is σ = 21610402560. Its totient is φ = 2302617600.

The previous prime is 7421377003. The next prime is 7421377079. The reversal of 7421377040 is 407731247.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 1408010 + ... + 1413270.

It is an arithmetic number, because the mean of its divisors is an integer number (135065016).

Almost surely, 27421377040 is an apocalyptic number.

7421377040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7421377040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10805201280).

7421377040 is an abundant number, since it is smaller than the sum of its proper divisors (14189025520).

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

7421377040 is a wasteful number, since it uses less digits than its factorization.

7421377040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5521 (or 5515 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 35.

The square root of 7421377040 is about 86147.4145868580. The cubic root of 7421377040 is about 1950.5698128773.

The spelling of 7421377040 in words is "seven billion, four hundred twenty-one million, three hundred seventy-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 229 280 308 385 440 458 560 616 770 880 916 1145 1232 1540 1603 1832 2290 2519 3080 3206 3664 4580 5038 5261 6160 6412 8015 9160 10076 10522 12595 12824 16030 17633 18320 20152 21044 25190 25648 26305 32060 35266 36827 40304 42088 50380 52610 57871 64120 70532 73654 84176 88165 100760 105220 115742 128240 141064 147308 176330 184135 201520 210440 231484 282128 289355 294616 352660 368270 405097 420880 462968 578710 589232 705320 736540 810194 925936 1157420 1204769 1410640 1473080 1620388 2025485 2314840 2409538 2946160 3240776 4050970 4629680 4819076 6023845 6481552 8101940 8433383 9638152 12047690 13252459 16203880 16866766 19276304 24095380 26504918 32407760 33733532 42166915 48190760 53009836 66262295 67467064 84333830 92767213 96381520 106019672 132524590 134934128 168667660 185534426 212039344 265049180 337335320 371068852 463836065 530098360 674670640 742137704 927672130 1060196720 1484275408 1855344260 3710688520 7421377040