Search a number
-
+
127280133440 = 2652639471597
BaseRepresentation
bin111011010001001111…
…1001011010101000000
3110011112101000201010022
41312202133023111000
54041132203232230
6134245514553012
712124056166145
oct1664237132500
9404471021108
10127280133440
1149a85354129
1220801a38768
13c005553635
1462361843cc
15349e1a71e5
hex1da27cb540

127280133440 has 112 divisors (see below), whose sum is σ = 304750207872. Its totient is φ = 50633189376.

The previous prime is 127280133433. The next prime is 127280133443. The reversal of 127280133440 is 44331082721.

It is a self number, because there is not a number n which added to its sum of digits gives 127280133440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127280133443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79698722 + ... + 79700318.

Almost surely, 2127280133440 is an apocalyptic number.

127280133440 is a gapful number since it is divisible by the number (10) 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 127280133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152375103936).

127280133440 is an abundant number, since it is smaller than the sum of its proper divisors (177470074432).

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

127280133440 is a wasteful number, since it uses less digits than its factorization.

127280133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 127280133440 in words is "one hundred twenty-seven billion, two hundred eighty million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 263 320 526 947 1052 1315 1597 1894 2104 2630 3194 3788 4208 4735 5260 6388 7576 7985 8416 9470 10520 12776 15152 15970 16832 18940 21040 25552 30304 31940 37880 42080 51104 60608 63880 75760 84160 102208 127760 151520 249061 255520 303040 420011 498122 511040 840022 996244 1245305 1512359 1680044 1992488 2100055 2490610 3024718 3360088 3984976 4200110 4981220 6049436 6720176 7561795 7969952 8400220 9962440 12098872 13440352 15123590 15939904 16800440 19924880 24197744 26880704 30247180 33600880 39849760 48395488 60494360 67201760 79699520 96790976 120988720 134403520 241977440 397750417 483954880 795500834 1591001668 1988752085 3182003336 3977504170 6364006672 7955008340 12728013344 15910016680 25456026688 31820033360 63640066720 127280133440