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31433201040 = 24354112725153
BaseRepresentation
bin11101010001100100…
…001001010110010000
310000010122010001121010
4131101210021112100
51003333344413130
622235030330520
72161641541353
oct352144112620
9100118101533
1031433201040
111237024a1aa
126112ab9a40
132c6c299857
14174292029a
15c3e87b0b0
hex751909590

31433201040 has 160 divisors (see below), whose sum is σ = 100609560576. Its totient is φ = 8113029120.

The previous prime is 31433200963. The next prime is 31433201047. The reversal of 31433201040 is 4010233413.

It is a super-2 number, since 2×314332010402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31433200998 and 31433201016.

It is not an unprimeable number, because it can be changed into a prime (31433201047) 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, 1237104 + ... + 1262256.

Almost surely, 231433201040 is an apocalyptic number.

31433201040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31433201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50304780288).

31433201040 is an abundant number, since it is smaller than the sum of its proper divisors (69176359536).

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

31433201040 is a wasteful number, since it uses less digits than its factorization.

31433201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25337 (or 25331 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 31433201040 its reverse (4010233413), we get a palindrome (35443434453).

The spelling of 31433201040 in words is "thirty-one billion, four hundred thirty-three million, two hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 127 164 205 240 246 254 328 381 410 492 508 615 635 656 762 820 984 1016 1230 1270 1524 1640 1905 1968 2032 2460 2540 3048 3280 3810 4920 5080 5207 6096 7620 9840 10160 10414 15240 15621 20828 25153 26035 30480 31242 41656 50306 52070 62484 75459 78105 83312 100612 104140 124968 125765 150918 156210 201224 208280 249936 251530 301836 312420 377295 402448 416560 503060 603672 624840 754590 1006120 1031273 1207344 1249680 1509180 2012240 2062546 3018360 3093819 3194431 4125092 5156365 6036720 6187638 6388862 8250184 9583293 10312730 12375276 12777724 15469095 15972155 16500368 19166586 20625460 24750552 25555448 30938190 31944310 38333172 41250920 47916465 49501104 51110896 61876380 63888620 76666344 82501840 95832930 123752760 127777240 130971671 153332688 191665860 247505520 255554480 261943342 383331720 392915013 523886684 654858355 766663440 785830026 1047773368 1309716710 1571660052 1964575065 2095546736 2619433420 3143320104 3929150130 5238866840 6286640208 7858300260 10477733680 15716600520 31433201040