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2144035132500 = 22354313913327
BaseRepresentation
bin11111001100110010011…
…100111101010001010100
321120222010111100200220010
4133030302130331101110
5240111440443220000
64320542305440220
7310621121634042
oct37146234752124
97528114320803
102144035132500
11757309a34778
122a7641040070
131272490c8c21
1475ab3d79392
153ab880b3d50
hex1f33273d454

2144035132500 has 120 divisors (see below), whose sum is σ = 6271414205056. Its totient is φ = 569915424000.

The previous prime is 2144035132489. The next prime is 2144035132507. The reversal of 2144035132500 is 52315304412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144035132507) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1890837 + ... + 2804163.

Almost surely, 22144035132500 is an apocalyptic number.

2144035132500 is a gapful number since it is divisible by the number (20) 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 2144035132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135707102528).

2144035132500 is an abundant number, since it is smaller than the sum of its proper divisors (4127379072556).

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

2144035132500 is a wasteful number, since it uses less digits than its factorization.

2144035132500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913667 (or 913650 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 2144035132500 in words is "two trillion, one hundred forty-four billion, thirty-five million, one hundred thirty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 313 375 500 625 626 750 939 1250 1252 1500 1565 1875 1878 2500 3130 3750 3756 4695 6260 7500 7825 9390 15650 18780 23475 31300 39125 46950 78250 93900 117375 156500 195625 234750 391250 469500 586875 782500 913327 1173750 1826654 2347500 2739981 3653308 4566635 5479962 9133270 10959924 13699905 18266540 22833175 27399810 45666350 54799620 68499525 91332700 114165875 136999050 228331750 273998100 285871351 342497625 456663500 570829375 571742702 684995250 857614053 1141658750 1143485404 1369990500 1429356755 1712488125 1715228106 2283317500 2858713510 3424976250 3430456212 4288070265 5717427020 6849952500 7146783775 8576140530 14293567550 17152281060 21440351325 28587135100 35733918875 42880702650 71467837750 85761405300 107201756625 142935675500 178669594375 214403513250 357339188750 428807026500 536008783125 714678377500 1072017566250 2144035132500