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40132332052230 = 23511401940937393
BaseRepresentation
bin10010010000000000010010…
…11001010101111100000110
312021002121120020000210012010
421020000021121111330012
520230012004001132410
6221204312215235050
711311315412656125
oct1110001131257406
9167077506023163
1040132332052230
11118730322175a0
124601ab8978a86
131951602657552
149ca5b5597abc
15498e02683c20
hex248009655f06

40132332052230 has 128 divisors (see below), whose sum is σ = 105139783918080. Its totient is φ = 9722937692160.

The previous prime is 40132332052217. The next prime is 40132332052243. The reversal of 40132332052230 is 3225023323104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40132332052217) and next prime (40132332052243).

It is a super-2 number, since 2×401323320522302 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5428419414 + ... + 5428426806.

It is an arithmetic number, because the mean of its divisors is an integer number (821404561860).

Almost surely, 240132332052230 is an apocalyptic number.

40132332052230 is an abundant number, since it is smaller than the sum of its proper divisors (65007451865850).

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

40132332052230 is a wasteful number, since it uses less digits than its factorization.

40132332052230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15526.

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 40132332052230 its reverse (3225023323104), we get a palindrome (43357355375334).

The spelling of 40132332052230 in words is "forty trillion, one hundred thirty-two billion, three hundred thirty-two million, fifty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 4019 4093 7393 8038 8186 12057 12279 14786 20095 20465 22179 24114 24558 36965 40190 40930 44209 44358 45023 60285 61395 73930 81323 88418 90046 110895 120570 122790 132627 135069 162646 221045 221790 225115 243969 265254 270138 406615 442090 450230 487938 663135 675345 813230 1219845 1326270 1350690 2439690 16449767 29712467 30259549 32899534 49349301 59424934 60519098 82248835 89137401 90778647 98698602 148562335 151297745 164497670 178274802 180947437 181557294 246746505 297124670 302595490 326837137 332855039 361894874 445687005 453893235 493493010 542842311 653674274 665710078 891374010 904737185 907786470 980511411 998565117 1085684622 1634185685 1664275195 1809474370 1961022822 1997130234 2714211555 3268371370 3328550390 4902557055 4992825585 5428423110 9805114110 9985651170 121613127431 243226254862 364839382293 608065637155 729678764586 1216131274310 1337744401741 1824196911465 2675488803482 3648393822930 4013233205223 6688722008705 8026466410446 13377444017410 20066166026115 40132332052230