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40208145900 = 223521311391237
BaseRepresentation
bin100101011100100101…
…111001110111101100
310211210011201102222220
4211130211321313230
51124321241132100
630245452035340
72622252413106
oct453445716754
9124704642886
1040208145900
11160634a514a
127961762b50
133a3a22c510
141d360b0576
1510a4deeaa0
hex95c979dec

40208145900 has 144 divisors (see below), whose sum is σ = 126394556064. Its totient is φ = 9809694720.

The previous prime is 40208145893. The next prime is 40208145917. The reversal of 40208145900 is 954180204.

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, 395082 + ... + 486318.

Almost surely, 240208145900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40208145900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63197278032).

40208145900 is an abundant number, since it is smaller than the sum of its proper divisors (86186410164).

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

40208145900 is a wasteful number, since it uses less digits than its factorization.

40208145900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91380 (or 91373 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 40208145900 in words is "forty billion, two hundred eight million, one hundred forty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 113 130 150 156 195 226 260 300 325 339 390 452 565 650 678 780 975 1130 1300 1356 1469 1695 1950 2260 2825 2938 3390 3900 4407 5650 5876 6780 7345 8475 8814 11300 14690 16950 17628 22035 29380 33900 36725 44070 73450 88140 91237 110175 146900 182474 220350 273711 364948 440700 456185 547422 912370 1094844 1186081 1368555 1824740 2280925 2372162 2737110 3558243 4561850 4744324 5474220 5930405 6842775 7116486 9123700 10309781 11860810 13685550 14232972 17791215 20619562 23721620 27371100 29652025 30929343 35582430 41239124 51548905 59304050 61858686 71164860 88956075 103097810 118608100 123717372 134027153 154646715 177912150 206195620 257744525 268054306 309293430 355824300 402081459 515489050 536108612 618586860 670135765 773233575 804162918 1030978100 1340271530 1546467150 1608325836 2010407295 2680543060 3092934300 3350678825 4020814590 6701357650 8041629180 10052036475 13402715300 20104072950 40208145900