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1540078307900 = 2252112214359393
BaseRepresentation
bin10110011010010011110…
…100100000101000111100
312110020012201001010110122
4112122103310200220330
5200213040021323100
63135300250554112
7216160401424166
oct26322364405074
95406181033418
101540078307900
11544164067300
1220a589138938
13b22c8785cb2
145477c3bd936
152a0dab9d985
hex16693d20a3c

1540078307900 has 108 divisors (see below), whose sum is σ = 3675180981696. Its totient is φ = 559757721600.

The previous prime is 1540078307881. The next prime is 1540078307903. The reversal of 1540078307900 is 97038700451.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540078307903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25900604 + ... + 25959996.

Almost surely, 21540078307900 is an apocalyptic number.

1540078307900 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 1540078307900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837590490848).

1540078307900 is an abundant number, since it is smaller than the sum of its proper divisors (2135102673796).

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

1540078307900 is a wasteful number, since it uses less digits than its factorization.

1540078307900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61572 (or 61554 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 1540078307900 in words is "one trillion, five hundred forty billion, seventy-eight million, three hundred seven thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2143 2420 3025 4286 6050 8572 10715 12100 21430 23573 42860 47146 53575 59393 94292 107150 117865 118786 214300 235730 237572 259303 296965 471460 518606 589325 593930 653323 1037212 1178650 1187860 1296515 1306646 1484825 2357300 2593030 2613292 2969650 3266615 5186060 5939300 6482575 6533230 7186553 12965150 13066460 14373106 16333075 25930300 28746212 32666150 35932765 65332300 71865530 127279199 143731060 179663825 254558398 359327650 509116796 636395995 718655300 1272791990 1400071189 2545583980 2800142378 3181979975 5600284756 6363959950 7000355945 12727919900 14000711890 15400783079 28001423780 30801566158 35001779725 61603132316 70003559450 77003915395 140007118900 154007830790 308015661580 385019576975 770039153950 1540078307900