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1144709547920 = 245179711037867
BaseRepresentation
bin10000101010000110000…
…000011000011110010000
311001102200202222010102222
4100222012000120132100
5122223331121013140
62233512230200212
7145462653420521
oct20520600303620
94042622863388
101144709547920
114015177740a4
12165a28ab3068
1383c3a782483
143d59332a848
151eb9ab695b5
hex10a86018790

1144709547920 has 160 divisors (see below), whose sum is σ = 2850000588288. Its totient is φ = 426065854464.

The previous prime is 1144709547907. The next prime is 1144709547941. The reversal of 1144709547920 is 297459074411.

It is a Cunningham number, because it is equal to 10699112-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145503827 + ... + 145511693.

Almost surely, 21144709547920 is an apocalyptic number.

1144709547920 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 1144709547920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425000294144).

1144709547920 is an abundant number, since it is smaller than the sum of its proper divisors (1705291040368).

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

1144709547920 is a wasteful number, since it uses less digits than its factorization.

1144709547920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9097 (or 9091 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 1144709547920 in words is "one trillion, one hundred forty-four billion, seven hundred nine million, five hundred forty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 97 136 170 194 272 340 388 485 680 776 970 1103 1360 1552 1649 1940 2206 3298 3880 4412 5515 6596 7760 7867 8245 8824 11030 13192 15734 16490 17648 18751 22060 26384 31468 32980 37502 39335 44120 62936 65960 75004 78670 88240 93755 106991 125872 131920 133739 150008 157340 187510 213982 267478 300016 314680 375020 427964 534955 534956 629360 668695 750040 763099 855928 1069910 1069912 1337390 1500080 1526198 1711856 1818847 2139820 2139824 2674780 3052396 3637694 3815495 4279640 5349560 6104792 7275388 7630990 8559280 8677301 9094235 10699120 12209584 12972683 14550776 15261980 17354602 18188470 25945366 29101552 30523960 34709204 36376940 43386505 51890732 61047920 64863415 69418408 72753880 86773010 103781464 129726830 138836816 145507760 147514117 173546020 207562928 259453660 295028234 347092040 518907320 590056468 694184080 737570585 841698197 1037814640 1180112936 1475141170 1683396394 2360225872 2950282340 3366792788 4208490985 5900564680 6733585576 8416981970 11801129360 13467171152 14308869349 16833963940 28617738698 33667927880 57235477396 67335855760 71544346745 114470954792 143088693490 228941909584 286177386980 572354773960 1144709547920