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40198401270 = 23251989264133
BaseRepresentation
bin100101011100000000…
…101110110011110110
310211202111101100212200
4211130000232303312
51124311242320040
630244503125330
72622103526106
oct453400566366
9124674340780
1040198401270
1116058a49935
12795a443846
133a381c9c71
141d34a95206
1510a4127630
hex95c02ecf6

40198401270 has 96 divisors (see below), whose sum is σ = 111253240800. Its totient is φ = 10041242112.

The previous prime is 40198401239. The next prime is 40198401277. The reversal of 40198401270 is 7210489104.

40198401270 is a `hidden beast` number, since 40 + 198 + 401 + 27 + 0 = 666.

40198401270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401984012702 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40198401277) 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, 20124 + ... + 284256.

It is an arithmetic number, because the mean of its divisors is an integer number (1158887925).

Almost surely, 240198401270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40198401270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55626620400).

40198401270 is an abundant number, since it is smaller than the sum of its proper divisors (71054839530).

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

40198401270 is a wasteful number, since it uses less digits than its factorization.

40198401270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264254 (or 264251 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 40198401270 in words is "forty billion, one hundred ninety-eight million, four hundred one thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 89 90 95 114 171 178 190 267 285 342 445 534 570 801 855 890 1335 1602 1691 1710 2670 3382 4005 5073 8010 8455 10146 15219 16910 25365 30438 50730 76095 152190 264133 528266 792399 1320665 1584798 2377197 2641330 3961995 4754394 5018527 7923990 10037054 11885985 15055581 23507837 23771970 25092635 30111162 45166743 47015674 50185270 70523511 75277905 90333486 117539185 141047022 150555810 211570533 225833715 235078370 352617555 423141066 446648903 451667430 705235110 893297806 1057852665 1339946709 2115705330 2233244515 2679893418 4019840127 4466489030 6699733545 8039680254 13399467090 20099200635 40198401270