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40225361250 = 235423479923
BaseRepresentation
bin100101011101100111…
…100100110101100010
310211211101010002000110
4211131213210311202
51124340143030000
630251305032150
72622551633454
oct453547446542
9124741102013
1040225361250
1116072193308
127967485656
133a40979309
141d384b22d4
1510a66a0850
hex95d9e4d62

40225361250 has 160 divisors (see below), whose sum is σ = 107144902656. Its totient is φ = 10041064000.

The previous prime is 40225361249. The next prime is 40225361251. The reversal of 40225361250 is 5216352204.

It is an interprime number because it is at equal distance from previous prime (40225361249) and next prime (40225361251).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40225361251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4048789 + ... + 4058711.

Almost surely, 240225361250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40225361250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53572451328).

40225361250 is an abundant number, since it is smaller than the sum of its proper divisors (66919541406).

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

40225361250 is a wasteful number, since it uses less digits than its factorization.

40225361250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10018 (or 10003 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 40225361250 in words is "forty billion, two hundred twenty-five million, three hundred sixty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 47 50 69 75 94 115 125 138 141 150 230 235 250 282 345 375 470 575 625 690 705 750 1081 1150 1175 1250 1410 1725 1875 2162 2350 2875 3243 3450 3525 3750 5405 5750 5875 6486 7050 8625 9923 10810 11750 14375 16215 17250 17625 19846 27025 28750 29375 29769 32430 35250 43125 49615 54050 58750 59538 81075 86250 88125 99230 135125 148845 162150 176250 228229 248075 270250 297690 405375 456458 466381 496150 675625 684687 744225 810750 932762 1141145 1240375 1351250 1369374 1399143 1488450 2026875 2282290 2331905 2480750 2798286 3423435 3721125 4053750 4663810 5705725 6201875 6846870 6995715 7442250 10726763 11411450 11659525 12403750 13991430 17117175 18605625 21453526 23319050 28528625 32180289 34234350 34978575 37211250 53633815 57057250 58297625 64360578 69957150 85585875 107267630 116595250 142643125 160901445 171171750 174892875 268169075 285286250 291488125 321802890 349785750 427929375 536338150 582976250 804507225 855858750 874464375 1340845375 1609014450 1748928750 2681690750 4022536125 6704226875 8045072250 13408453750 20112680625 40225361250