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40071620931120 = 243552061297373
BaseRepresentation
bin10010001110001111001101…
…01110110010111000110000
312020212210212011100021200000
421013013212232302320300
520223013134424243440
6221120352025230000
711304036056651052
oct1107074656627060
9166783764307600
1040071620931120
111184a308394739
1245b2194932300
13194897879604c
149c76964b38d2
1549754c7b3730
hex2471e6bb2e30

40071620931120 has 120 divisors (see below), whose sum is σ = 139558077409296. Its totient is φ = 10685765576448.

The previous prime is 40071620931109. The next prime is 40071620931149. The reversal of 40071620931120 is 2113902617004.

40071620931120 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 1 + 620 + 9 + 3 + 1 + 1 + 20 = 666.

40071620931120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030629247 + ... + 1030668126.

Almost surely, 240071620931120 is an apocalyptic number.

40071620931120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40071620931120 is an abundant number, since it is smaller than the sum of its proper divisors (99486456478176).

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

40071620931120 is a wasteful number, since it uses less digits than its factorization.

40071620931120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061297401 (or 2061297383 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 40071620931120 in words is "forty trillion, seventy-one billion, six hundred twenty million, nine hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 2061297373 4122594746 6183892119 8245189492 10306486865 12367784238 16490378984 18551676357 20612973730 24735568476 30919460595 32980757968 37103352714 41225947460 49471136952 55655029071 61838921190 74206705428 82451894920 92758381785 98942273904 111310058142 123677842380 148413410856 164903789840 166965087213 185516763570 222620116284 247355684760 278275145355 296826821712 333930174426 371033527140 445240232568 494711369520 500895261639 556550290710 667860348852 742067054280 834825436065 890480465136 1001790523278 1113100581420 1335720697704 1484134108560 1669650872130 2003581046556 2226201162840 2504476308195 2671441395408 3339301744260 4007162093112 4452402325680 5008952616390 6678603488520 8014324186224 10017905232780 13357206977040 20035810465560 40071620931120