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1474743381144 = 2331179463152723
BaseRepresentation
bin10101011101011101100…
…011100010110010011000
312012222120101211222000120
4111131131203202302120
5143130233301144034
63045253204433240
7211355341624155
oct25353543426230
95188511758016
101474743381144
11519487212870
121b99946a8820
13a90b5990b17
14515411a322c
1528564dd6c49
hex1575d8e2c98

1474743381144 has 128 divisors (see below), whose sum is σ = 4081762713600. Its totient is φ = 440279199360.

The previous prime is 1474743381107. The next prime is 1474743381161. The reversal of 1474743381144 is 4411833474741.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9579967 + ... + 9732689.

It is an arithmetic number, because the mean of its divisors is an integer number (31888771200).

Almost surely, 21474743381144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1474743381144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040881356800).

1474743381144 is an abundant number, since it is smaller than the sum of its proper divisors (2607019332456).

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

1474743381144 is a wasteful number, since it uses less digits than its factorization.

1474743381144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153285 (or 153281 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 51.

The spelling of 1474743381144 in words is "one trillion, four hundred seventy-four billion, seven hundred forty-three million, three hundred eighty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 463 474 632 869 926 948 1389 1738 1852 1896 2607 2778 3476 3704 5093 5214 5556 6952 10186 10428 11112 15279 20372 20856 30558 36577 40744 61116 73154 109731 122232 146308 152723 219462 292616 305446 402347 438924 458169 610892 804694 877848 916338 1207041 1221784 1609388 1679953 1832676 2414082 3218776 3359906 3665352 4828164 5039859 6719812 9656328 10079718 12065117 13439624 20159436 24130234 36195351 40318872 48260468 70710749 72390702 96520936 132716287 141421498 144781404 212132247 265432574 282842996 289562808 398148861 424264494 530865148 565685992 777818239 796297722 848528988 1061730296 1555636478 1592595444 1697057976 2333454717 3111272956 3185190888 4666909434 5586149171 6222545912 9333818868 11172298342 16758447513 18667637736 22344596684 33516895026 44689193368 61447640881 67033790052 122895281762 134067580104 184342922643 245790563524 368685845286 491581127048 737371690572 1474743381144