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40102012300 = 225271731108707
BaseRepresentation
bin100101010110010001…
…000010010110001100
310211111210000022001211
4211112101002112030
51124112103343200
630231141144204
72616523323520
oct452621022614
9124453008054
1040102012300
11160095a4429
1279320bb064
133a2124bc7c
141d25d63d80
15109a937aba
hex95644258c

40102012300 has 144 divisors (see below), whose sum is σ = 108701042688. Its totient is φ = 12522931200.

The previous prime is 40102012297. The next prime is 40102012309. The reversal of 40102012300 is 321020104.

It is not an unprimeable number, because it can be changed into a prime (40102012309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314547 + ... + 423253.

It is an arithmetic number, because the mean of its divisors is an integer number (754868352).

Almost surely, 240102012300 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 40102012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54350521344).

40102012300 is an abundant number, since it is smaller than the sum of its proper divisors (68599030388).

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

40102012300 is a wasteful number, since it uses less digits than its factorization.

40102012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108776 (or 108769 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 40102012300 its reverse (321020104), we get a palindrome (40423032404).

The spelling of 40102012300 in words is "forty billion, one hundred two million, twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 31 34 35 50 62 68 70 85 100 119 124 140 155 170 175 217 238 310 340 350 425 434 476 527 595 620 700 775 850 868 1054 1085 1190 1550 1700 2108 2170 2380 2635 2975 3100 3689 4340 5270 5425 5950 7378 10540 10850 11900 13175 14756 18445 21700 26350 36890 52700 73780 92225 108707 184450 217414 368900 434828 543535 760949 1087070 1521898 1848019 2174140 2717675 3043796 3369917 3696038 3804745 5435350 6739834 7392076 7609490 9240095 10870700 12936133 13479668 15218980 16849585 18480190 19023725 23589419 25872266 33699170 36960380 38047450 46200475 47178838 51744532 57288589 64680665 67398340 76094900 84247925 92400950 94357676 114577178 117947095 129361330 168495850 184801900 229154356 235894190 258722660 286442945 323403325 336991700 401020123 471788380 572885890 589735475 646806650 802040246 1145771780 1179470950 1293613300 1432214725 1604080492 2005100615 2358941900 2864429450 4010201230 5728858900 8020402460 10025503075 20051006150 40102012300