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40700032770 = 2354354757679
BaseRepresentation
bin100101111001111010…
…010011011100000010
310220001110021212221010
4211321322103130002
51131323202022040
630410342541350
72640404366445
oct457172233402
9126043255833
1040700032770
1116296120021
127a7a437856
133ab8103837
141d8155365c
1510d31b3e80
hex979e93702

40700032770 has 64 divisors (see below), whose sum is σ = 100136171520. Its totient is φ = 10581375168.

The previous prime is 40700032739. The next prime is 40700032777. The reversal of 40700032770 is 7723000704.

It is a happy number.

40700032770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (40700032777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676791 + ... + 734469.

It is an arithmetic number, because the mean of its divisors is an integer number (1564627680).

Almost surely, 240700032770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40700032770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50068085760).

40700032770 is an abundant number, since it is smaller than the sum of its proper divisors (59436138750).

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

40700032770 is a wasteful number, since it uses less digits than its factorization.

40700032770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58279.

The product of its (nonzero) digits is 8232, while the sum is 30.

The spelling of 40700032770 in words is "forty billion, seven hundred million, thirty-two thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 547 645 1094 1290 1641 2735 3282 5470 8205 16410 23521 47042 57679 70563 115358 117605 141126 173037 235210 288395 346074 352815 576790 705630 865185 1730370 2480197 4960394 7440591 12400985 14881182 24801970 31550413 37202955 63100826 74405910 94651239 157752065 189302478 315504130 473256195 946512390 1356667759 2713335518 4070003277 6783338795 8140006554 13566677590 20350016385 40700032770